I usually have to depants when at home crapping. Also I can take a dump in pretty much any toilet as long as there is paper. I have no hang-up about public toilets, though I do wipe the seat once or twice before sitting down.
I really find crapping easier with something to read. Also I have to have a morning dump, it's essential. Back when I had some very early mornings (having to been on the wards by 7am) I would actually took my morning coffee and laptop into the ensuite I had, in the house I was staying in. It had a bench to the side of the toilet that I could rest them on, I'd spend ten minutes convincing my bowels to open as I read the news. My friends think that was weird but it was the only way to get everything done in an orderly fashion. For the record I'd finish the coffee before I'd start and not handle my laptop until I'd washed my hands.