Hi honey. I'm starting out and like Warren said, I'm in a bit of a catch 22 as well.
But rumour is your friend

I take it you have a myspace page? Link to people in the scene - and the performing art scene. It has been known for people to send out bulletins about looking for performers. Get to know other people in the area who are into the scene (I got booked for next month and passed on info to another newbie who got booked as well).
Through Myspace I may have another couple of bookings coming up as well.
Various nights have new performers so it's worth contacting organisers and if they can't give you show time it might worth asking if they run auditions (that way at least you get feedback).
Also if all else fails you could organise your own night

Make it for charity and don't put yourself at the top of the bill.