Well I've never used a urinal. Not once, I just don't see the point when you can go into a stall where there's more privacy and room and you can of course dab yourself with some toilet paper. I'll use a bush or a wall if I can't find a bathroom but once I'm in a bathroom, urinals are useless.
For actual poopin', I of course make sure everything is wiped down and then I make a big ass (pun not intended) nest of toilet paper and toilet seat covers before sitting down. I also lay a few handfuls of toilet paper into the water so there's no splash back. I'm a thousand-wiper man, I have no access to a bidet in a public bathroom so I just wipe and wipe until absolutely no particles show up on the toilet paper.
So I'm a pretty cautious person obviously. But I'm outside all day so I use public bathrooms more often than private bathrooms so I guess I'd still consider myself as comfortable with public bathrooms.