Pick-up lines don't work with me, period. They make me too many enemies
I prefer a long, slow build-up of trust and friendship. Namiko offers an excellent Aspie strategy in saying girls want to be treated as friends, not objects. Thagomizer also mentions a strategy I apply in finding dates with a common interest. Like Krish says, usually things just sort of ... happen. Either way I do see some pretty good tips on this thread.
Endersdragon,
The best I can tell you is to focus on those you find easiest to converse with. If you're too tongue-tied with her (as I have been with many I would have liked to get to know) then you and her aren't on the same wavelength and not for each other. OTOH, if you and her get yammering away effortlessly then there could be something there worthwhile for both of you to find out more.
Aspies don't usually have the gift of the gab. Do you get verbal dysentary talking with her? She could be just be what the doctor ordered 
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If "manners maketh man" as someone said
Then he's the hero of the day
It takes a man to suffer ignorance and smile
Be yourself no matter what they say
**Sting, Englishman In New York