In the movies, couples have sex and then immediately roll over and go to sleep. In the real world, there's a post-coitus ritual that every dude must perform, but few talk about: the washing of the dick.
For as long as men have been sticking their penis into things, they've been experimenting with different ways to clean up afterward—some more effective than others. Search Twitter and Reddit for guys' dick-washing tips, and you'll find everything from crude jokes (“soak it in gasoline for a few hours and then hang it on the line to dry.”) to earnest advice (use paper towels—"the smooth ones,obviously.").
This shows the range of actual ways guys clean their penis after sex. Of course, there's the most obvious one: Hopping into the shower and giving every nook and cranny a good ol' rinse.
But not everyone wants to hop in the shower right after sex, leaving their partner in bed alone, twiddling their thumbs. That's why other folks suggested using the sink as an express wash ("I rinse my dick off in the sink by cupping water in my hand and rinsing my dick. I have to stand on my toes to get my dick over the sink," ). Another popular response involved using a towel to wipe down your junk. (This should not be confused with the colloquially-known “sex towel,” a handy tool for covering up the sex spot on a bed, and which anyone with any ounce of manners should offer up to a partner who's sleeping over.) Other guys say they use wet wipes to give the area a rub down.
While there isn't one exact way to correctly wash your penis after sex, there are several things to keep in mind. Just like you might polish a trophy or dust off the trinkets on your shelf, cleaning your penis is important, especially after you use it, there's not a ‘right’ or ‘wrong’ way to clean your penis, but there are some general rules. Sex can be messy—skin, fluids, lube all over the place. So after sex, clearing off these things from your tool will let you put it away ready for the next use.
Showers and faucet washes sound like solid plans, as long as they’re done thoroughly. (They must have really low sinks. Why don't they get into the shower? But hey, whatever works!) Baby wipes or wet towels are fine to remove debris and extra lube, but soap and water are going to be best at killing bacteria and preventing infection, especially after anal sex.