@lostinthejungle,
Lost,
This is a good time for you to make attempts to meet women. You don't know where it might go, but not trying leaves you with a helpless feeling - like this one.
Steel yourself before going out - realize that you may get shot down. Then, try to build yourself up and be ready to speak to women. It helps to have a wing man. Someone who can help you check your look, who may be able to "entertain" a friend of your lady interest.
If someone actually bumps into you, that seems to be a good excuse to say something - but I'm totally the wrong person to give advice on exactly what to say. I'm a chick, and everything I say - no matter how stupid - has always worked. Maybe some dudes can come around and give you some ideas about how to finesse the beginnings of a conversation.
I think something stupid like, "Excuse me. I'm afraid the cost of bumping my chair is five minutes of conversation at my table. Please have a seat. Your friend can come, too - I recall that's an option in the Chair Bumping Manual."
Try to have fun, be relaxed. If she looks at you weird and walks away, you can just say to your friend - anyone around, "Clearly she hasn't read the manual." Forget it - and enjoy your evening. (But don't look at her again.)
Meeting people in public can be tricky, as my lame advice proves, but don't let that stop you from trying. If you strike out 10 times, it's worth a connection on the 11th. Just remember to be light-hearted and not take it seriously - but also very important, if she shoots you down, don't try it again with her. If she returns to you, that's ok - if it's ok with you. An initial come-on may shock many women for a moment - and after thinking about it, she may show interest. Just don't look at her hoping for it. It may make her think you're stalker-y.
Good luck!