They are trying to reduce inflation. The housing bubble certainly played a part, but inflation was hitting nearly everything. A big concern here, is that many smart people think a fair bit of that inflation was due to COVID related supply chain disruptions (which still persist, see China and COVID). So while raising interest rates will help, it may not be the right tool for the job (but it is the only tool that the Fed has, so here we are).
> For an individual (someone who isn't a current business owner), does this basically mean we should continue stockpiling savings, and avoid moving (rent) / avoid buying house / buying a car?
Definitely build up your savings. The other three are more complicated. Rents appear to be finally going down in some marquee markets. So moving might actually save you money. Buying a house now feels like a bad idea, seems like the market is still carrying on from the fumes of the bubble, but interest rates are definitely having an impact. Based on historical examples, the full impacts will probably take a few years to shake out as housing tends to move pretty slowly. And buying a car, well that is complicated. If you need one, buy one. If not, probably best to avoid it.
If you do have savings, might make sense to start looking at CDs, treasuries, and municipal bonds. Interest rates are up and if you have a chunk of cash sitting around those are good ways to put it to use.
> Any ideas how long this could last / what the bottom looks like?
Watching the Fed is the key here. And the Fed is watching inflation. So as long as inflation stubbornly persists the Fed is likely to keep raising rates, and that is going to impact the economy. I read somewhere that the "market" is expecting inflation to normalize in the summer of 2023. But personally that feels optimistic. I think we still need to shake off the COVID induced supply chain disruptions before things get back to normal, and that still feels like another year or so away.