First we went to the Children's Section and picked up a prize that my youngest, Silas, won for the book club! I know, so exciting! He had to read so many books in order to win (he had his mom read to him). We entered in the contest and so he got to pick out a prize from the glass case. Here's a picture of his prize:
So, I would encourage you to participate in your local library contests, even if your child can't even read yet. It's fun to see them learn while you read to them. You never know what you'll find!