One unclear point for example is what happens with the deposited toxins, how hard is it to clean them? are they transferred by touch?
If you live in a house with central HVAC, a decent, regularly replaced filter will help a lot (make sure to only use full blown HEPPA filters if your furnace supports it otherwise you'll have all sorts of airflow issues). Otherwise you can buy air purifiers. The study measured smoke (cigarette and wildfire) as well as insecticides, so minimizing exposure to both is probably the easiest first step (not smoking inside is easy, but wildfire depends on how porous your house is).
Also, don’t put a HEPA filler in your HVAC return — not only is it unhelpful overkill, it will have excessive static pressure drop, thus wasting power, increasing noise, reducing airflow, and potentially damaging the blower. Use an appropriate filter in the MERV 13-16 range.
If you're considering one, make sure to get an air purifies where the carbon filter can be changed independently from the main filter.