I love going out with friends and especially when it come down to clubs. I have no problem making out with more than 1 girl and number closing every time I go to a club (And I'm picky).
Here's some advices:
1- Don't club alone, and enjoy yourself! If not, you'll be the creepy guy that everyone is scared of.
2- DRINK, if your main problem is to do the 1st move, go get a beer or two and there won't be any problem! You won't even know how it happened because it was so smooth.
Personally, I smile a lot and try to get eye-contact with the girl. With experience, I've learned that it's pretty much always the same thing. First you spot the girl and she spot you, then you can tease her with a nice smile or wtv! If she's interested you'll be aware of it. (Trust me, they can be such bitches, sometimes)
Then You can start grinding her, don't be afraid to touch her where you wants

She'll like it. After a few minutes, when she's comfortable with you, she will often grab your hands. Which obviously mean she wants to face you. So just flip her. After a while you'll start making out with her. If she's really into you, it can end up in the bathroom
Peace