I usually wash my hands, but especially so if i had to poo
I have always sat to pee (forget you, it's cleaner, you're less likely to miss and hit the seat, and don't even get me started when the stream splits at the tip)
Sure it's cleaner, but have you tried lifting the seat so that it's in an upright position and then aiming toward the back corners of the bowl? It's quieter and slightly less likely to splash everywhere compared to just going right for the watery center
Also, the less chances of my dingle touching the rim of the bowl, the better, so i wouldn't sit to pee, personally