Not technically a chore, but a chore preventer: Close the lid before flushing the toilet.
I run an Airbnb hosting in a room on my house for like 3 years and I’m still amazed by how little people actually did it. Even after we sat a signal asking for it just above the flush button. Having feces particles all around your brushes, toothbrushes, towels, etc is an image nobody has but myself it seems.
Read a paper on this at some point, and this has become standard practise at home. Notice that visitting friends don't do this, so I thought about looking framing the paper and/or some figures showing those plumes after flushing (can't remember what paper it was but I guess searching pubmed for "toilet flushing" will easily give some appropriate results).
Yeah I saw in the discussion that it is also not clear how it behaves with actual geval particles in the water. However I think multiple other studies have looked into spread of bacteria and viruses and showed this is found near a flushed toilet, but one recent review said the signs where there but it's not certain it's super significant for health. (If I remember correctly, i scanned them pretty fast in a coffee fueled random-interest vortex while I actually really wanted to get on with other things).
Oh and I think it can also help with humidy and mold in toilets? Seem to recall my sister did a BSc project on this and actually gathered data in our home. No clue how significant this was tho.
But yeah it's also just polite, good habit to have i.m.o.