You know if we could all learn how to be players from reading a book, much less a thread on a music forum, I'm inclined to doubt that any of us would be sitting in front of our computers right now. We'd be out queueing for our copy.
Trust me, juggling more than one girl at a time isn't fun. Don't try to be a player, cos at the end of the day, you are going to be the one labelled an asshole, even with the mutual understanding that there's no real commitment involved. Besides, I think your partner deserves a little more respect than that.
On the other hand, don't throw everything in one basket and hold a torch for so long that you get burnt. If you don't already know her well enough, get off yer ass and DO IT LAH KNNBCCB. You might end up finding out that she isn't even your type, and it won't sting as bad in the unlikely event that she doesn't go for sexy indian bassists. >.<