I don't touch my dick when pissing nor do I piss on my hands. Learn how to use the restroom and there is no need to wash your hands. I see little girly men fussing with their junk, wriggling it through a maze of clothing/underwear to tinkle and hug the urinal, look like a damn 7 year old.
Unbutton, unbuckle, pull front of underwear down, let junk fall out, piss.
Use underwear to toss junk back up and in, zip, button, buckle.
If you're fondling or touching your dick when you piss you're doing it wrong.