Hmm, let's see... my favorite methods of accquiring a new girl at my side...
1. Ask. Very simple method. Just show some interest and your chances will increase quite a considerable bit, since most women (like men) aren't allowed to be or express themselves in public, all whilst having so much more to say than just they usual "Oh hi wassup?" chit chat they're being forced into on a daily basis. I found that I could quickly determine if a girl was my type after the first half hour of asking her about life and whatnot, depending on whether she was eager to finally tell someone about all that stuff that's been on her mind or not. Keep in mind that the ones you pick up with this method most likely just long for someone to appreciate them, so there's still a lot of work to be done after this first step. Also: BEWARE OF PSYCHOS. They're the ones who'll mainly react to this method, so be cautious, 'coz these girls can fuck up your life. (No offense, former girlfriends.)
2. Befriend an artist, talk about art and stuff, ask her to help you with some of your stuff. It's a cheap method and I only did it by accident (twice), when I asked some friends of mine for help on an art assignment that should "involve yourself somehow". I simply asked her whether she could create a comic-character-version of me, et voilá - she spent hours having my picture in mind and thinking about me, and before I knew it, she discovered that she wanted to be more than just friends with me.
... hah, I'm sounding like a real bastard here, ain't I? Well, good.