Republicans have been hammering the Democrats because of the current price inflation in the economy.
So what do the Republicans have in mind for fixing inflation?

And for an idea of what they support, check out McCarthy’s Commitment to America website. It contains few specifics, but has three basic tenets:

“Curb wasteful government spending …”
Enact “pro-growth tax and deregulatory policies …” (cut taxes and regulations)
“Make America energy independent …” (specifically through oil and gas production)
Regarding the tax and regulation ideas, those are longer-term ideas since they would require a Republican president.

A fourth promise to end reliance on China and ease supply chain problems does not include specific policy ideas.

What "wasteful government spending" are they referring to? That's hard to say, but you can be certain of two things: 1) they won't touch the hundreds of billions of pork and waste in the military budget, and 2) based on the GOP's opposition to the Dems American Rescue Plan Act, those cuts will directly impact the already struggling working class.
Included in their plan is to address the supply-chain bottlenecks.

Commitment to America, a plan put forward by Republican House Minority Leader Kevin McCarthy, laments the "broken supply chain that has increased costs and left store shelves empty." The plan vows to fix the supply chain issues, including a transfer of additional productive capacity to the U.S. in order to alleviate reliance on China.

This is a very good idea, but it took us 40 years to get us into this situation, so it'll take many years to get us back out. Plus the Devil is in the Details.
Finally there is making "America energy independent."

The U.S. is set to produce an average of 11.8 million barrels oil per day in 2022, which stands 500,000 barrels short of a record set in 2019, EIA data showed.

Republicans like to talk about the Democrats blocking oil and gas drilling, but that is nothing but campaign rhetoric. It's unlikely that even if Republicans removed every last environmental restriction from oil and gas drilling that it would make a significant short-term impact on energy.

We can be certain of one thing - Republicans aren't here to help the working class with inflation. Republicans have vowed to repeal the Biden-backed law that lets Medicare negotiate lower prescription drug prices, and were so eager to help big pharma that they blocked Biden from setting a $35-a-month price cap on insulin. So helping working class people with drug price inflation is not part of their plan.

Besides, we already know what the GOP priority is - extending Trump's tax cuts for the wealthy elites.

Top Republican lawmakers say they’ll try to use the federal debt limit to force President Biden to bargain if they win control of Congress, threatening to revive a form of high-stakes brinkmanship that could push the United States to default on its debt and posing major new dilemmas for the White House next year.

This debt limit game of chicken might play well on Fox News, but considering the illiquidity problems in the Treasury market, 2023 might not be a good year to play this game. The GOP could potentially cause a financial crisis that would swamp any agenda that they had.

So what do the Democrats have in mind to deal with inflation?

Democratic lawmakers, members of President Biden’s Cabinet, and allied organizers and activists are kicking off a multipronged public relations campaign aimed at ensuring voters understand — and appreciate the benefits of — the $700-billion climate-change and drug-prices bill that Biden signed Tuesday.
...Appearing alongside Interior Secretary Deb Haaland, Porter noted that Democrats’ latest legislation — the central pillars include $369 billion to combat climate change and long-sought changes to lower the cost of prescription drugs — will continue to support the water district and similar facilities across the country.

“This new law invests $4 billion in water conservation, efficiency and restoration, and that supplements the more than $50 billion already allocated in the bipartisan infrastructure law to help us modernize our water infrastructure and improve our drinking water supply,” Porter said.

These are all good ideas that I support, buuuttt 1) this has almost nothing to do with solving inflation, and 2) there had zero chances of this passing Congress before the election and even less chance of it passing after the election.
And then just days later, as if to emphasize just how unserious the Democrats were, we got to see this.

The Senate parliamentarian on Saturday dealt a blow to Democrats' plan for curbing drug prices but left the rest of their sprawling economic bill largely intact as party leaders prepared for the first votes on a package containing many of President Joe Biden's top domestic goals.

So while the Democrats technically have "a plan", they never actually meant to do anything.
The Republicans also have "a plan", but without any details it doesn't mean much.

The reality is that voting Democrat or Republican based on the inflation issue is a waste of time because a) it's not a priority of either party, b) the inflation problem isn't strictly a domestic problem, and c) no one is even considering a real fix.
Point 'A' I already explained. Now let's look at Point 'B'.
While inflation is over 8% in the United States, it is even higher overseas.

Preliminary data on Monday from Europe’s statistics office showed headline inflation came in at an annual 10.7% this month. This represents the highest ever monthly reading since the euro zone’s formation...
This proved to be the case once again, with energy costs expected to have had the highest annual rise in October, at 41.9% from 40.7% in September. Food, alcohol and tobacco prices also climbed in the same period, jumping 13.1% from 11.8% in the previous month.

Inflation in Italy came in at 12.8% year on year. Germany also said inflation jumped to 11.6%. Inflation rose by more than 20% in Estonia, Latvia and Lithuania.
Inflation is happening all over the globe, so thinking that you can solve inflation via a domestic election is silly.

The open secret is that we know where the inflation is being created and how it is turning into price inflation, and that neither party has any intention of doing anything about either factor.
The source of the price inflation comes from an unelected group of financial oligarchs - the Federal Reserve.

Inflation is a choice. It’s a choice for which the Fed is chiefly responsible. The risk of an inflationary spiral arises when policy makers first dismiss the problem and then cast blame elsewhere. Inflation becomes embedded in the price-formation process when the central bank acts belatedly or with insufficient conviction. To date, the Fed has acted as an enabler.
...
“Supply-chain bottlenecks” is the popularized rationalization for the surge in prices. But the supply-chain story sheds more shade than light. Consumer prices are higher because prices are rising at the points of production, assembly and transportation. This is a description of the state of affairs, not its source. The Fed’s inertia in withdrawing extraordinary monetary policy—amid full employment—is the proximate cause of surging prices.

It seems weird that CNBC, the WSJ, and the WashPost would be sources of truthful information about inflation (or anything), but this the exception to the rule.

Over the past two years, as the Federal Reserve fought to rescue the economy from the clutches of the coronavirus, the central bank’s emergency remedies increased the nation’s money supply by an astonishing 40 percent.

That was almost four times as much new money as had been created during the two years that preceded the pandemic and, to some Fed critics, explains why the United States is experiencing its highest inflation since 1982. All that money chasing after limited supplies of goods such as cars, computers and furniture is inevitably bidding up prices, they say.

Well, truthful information right up until that last sentence. The Federal Reserve doesn't compete with anyone when it comes to the limited supplies of goods such as cars, computers and furniture.
The Federal Reserve manipulates interest rates and buys financial assets. The Federal Reserve also gives out trillions of dollars in loans to major banks all over the world. Thus the Federal Reserve is the source of global asset inflation, but that's only one half of the story.
The other half of the story is how all of that money printing manages to get into the real economy and thus turn into price inflation. That conduit is the real estate market. Investor purchases of residential homes as rental properties as a share of all residential home sales, rose from 10.5% in May 2021 to nearly 18% in May 2022.
The financialization of the economy, combined with financial deregulation, the reluctance of regulators and the Justice Department to prosecute financial fraud, and the massive global bubble in financial assets caused by more than a decade of unprecedented loose money policies, has pushed Wall Street to enter into the home rental market in a very big way.
Since everyone, both residential and small business, needs shelter, this has been the primary conduit between Federal Reserve money printing and the real economy.