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Resort to air filtering machinery. You can buy a HEPA filter for $100-200. If you drive much, buy a HEPA cabin air filter for your car (https://www.boschautoparts.com/en/auto/filters/hepa-cabin-fi...). Your exposure to particulates while driving is many times higher than while at home.

I didn’t do much research into this but there are a number of house plants that NASA says improve air quality.

There's a list of some of these plants here:

https://learn.allergyandair.com/houseplants-indoor-air-quali...

One minor trick I use when walking down the street is to rapidly exhale if I've breathed in a particularly bad volume of exhaust pollution, like concentrated diesel fumes, walking on a few paces before re-inhaling. I expect it takes ~1s to detect the bubble of bad air and the surrounding air is polluted too. So just mitigation.

Fill every room with Peace lilys or Florist's chrysanthemum.

https://en.wikipedia.org/wiki/NASA_Clean_Air_Study

Small particulates are difficult to get rid of. They're so light that they don't settle, so anything other that a HEPA filter won't do you much good.