I was actually surprised to day at college with the toilets, at high school we didn't have hot water or soap which i thought was pretty poor tbh. So i never went to the toilet. The one time I did, because I really needed to, I went into the staff toilets ha. They have soap and everything.
I always wash my hands, but tbh I think I have a bit of OCD about it! And in public toilets I'll take off a piece of toilet paper, put that over the thing to flush it with (if it's not one of the wave and flush things) then use that to open the doors. Because otherwiase you'd be washing you hands and then touching a door that someone who hasn't washed their hands, has just touched!