Man, I'll tell you what. I delivered a baby down in Guatemala last year, and damn straight, it was a slippery, gooey mess. But I tell you, without sounding too cheesy, its some magical ****. And I really think that it is hardwired into our brains at some primitive level not to drop the little guys. SOOOOOOOOOOOOOOO, here's the graphic detail:
As long as its not a crazy breach birth, you'll get the crowning, when the head just pokes out. This part is really up to the Mom. Out the little guy will come, and you kind of guide the head up toward your elbow, supporting the length of the body along your forearm. With your other hand you hold him/her there. Then when there out, go Deion Sanders style. Tuck the kiddo up against your body like a football. The nurses will do the rest, they're better at it anyway.
It is undoubtably one of the the coolest, most memorable things you'll ever do. It's like seeing Everest or chilling with the Pope or walking on the Moon.
It'll also make you glad you're a guy-Sorry ladies.