I have found it difficult to find part-time babysitters. Live-in nannies seem to be everywhere though if that interest you. Most women I know either keep their kids at home themselves or take them to nursery.

My daughter goes to Starfish Lane Kids nursery and I love it. Very educational place with loads of activities and crafts too. Much more than just free play for the kids. If you do want your baby in a place for September you need to start getting in touch with places and get your name on the list. Nurseries are very, very full.
Best Wishes.