All good, Krusty, all good.
Hey Sass, think for yourself and you'll get all the respect you need and deserve. If that limp-wristed crap isn't for you, then don't bother with it. Be yourself, shake any hand any which way ya please, and I assure you no harm can come of it. You'll feel better doing it your own way, too.
I offer my hand to anyone I've just met, regardless of gender. It's one of my own unwritten rules that I don't bother with sexism, polite or otherwise. And I don't care how you shake my hand as long as you do it, so long as you don't try to crush it. That'll get you a swift kick to the nether region, y'dig? Judging people by anything other than their ideas, mannerisms, and personality is an utterly absurd concept to me.
That much said, it's greatly appreciated if you wipe the sweat off before you offer your hand or take mine. I take pride in my non-clammy hands, I'd prefer they stay that way.
And one last thing: I greet my closer friends with a hug, same goes for most of my family, but I'd never greet a new acquaintance with one. And unless you're a high school girl, it's probably not a good idea for you to, either. Some people get reeaall touchy when you get up in their space like that. Weirdos. :P
I was speaking idiomatically.