We had a great book signing for Sofia. It is wonderful to get the feedback of talking to real people who like your book.
For your first local signing contact libraries and book groups.
Mail out invitations and be sure to specify what goodies are in store. Are you providing snacks, raffling off an autographed copy, or providing a hands-on activity? Crafts that are related to your book can be interesting.
Bring tons of bookmarks, autographed stickers and copies of your book.