Snap, snap, snap. The worst thing for me is that I don't drive either. I am meeting a mum on Monday who replied to my posting on Netmums, so that is a start. Netmums has also proved helpful in the past for me, unfortunately I moved away and lost contact with previous people I met.
I am thinking about going to NCT coffee mornings, maybe even joining, as I know someone who has made loads of friends through that. Wish I could give you more ideas, I am looking for PT work, so hope that will help me. Good luck! Where are you by the way?