Is this the rhyme? I’ve read the whole thread thinking, there’s a rhyme about males peeing? What else do I not know?
another version: You can shake and you can dance, but the last few drops go in your pants.
My answer: Boxer briefs. Nice, absorbent cotton boxer briefs. After doing your business, tuck Mr. Special into crotchpiece (where there’s two layers of fabric) rather than letting him hang loose.
BTW, besides the aforementioned p-trap configuration thing, we gentlemen also have to deal, in due course of time, with the effects of aging on that certain other “p” word involved in our genitourinary tract, which adds a constriction to the whole system that makes for incomplete voiding. The engineering involved in that bodily region speaks loudly against “intelligent” design…
Pipe cleaners have many uses
I try to use a toliet and drop trou. If I must use a urinal, my left hand is placed to act as a gutter.
Wring drying.
Canned Air?
Oh thank God other guys have this problem. Good suggestions, so far - I’ll try Dunawake’s suggestion later today. And then, I’ll probably start looking for a new job. 
LilShieste