There are many stores that offer a "baby club" for your baby. Here you will find the clubs that I am aware of. Feel free to leave a comment if you know of one that is not on my list.
Publix -Baby Club
Publix- Preschool Pals
Winn Dixie- baby club
You can also sign up for the following baby related freebies/Savings
Gerber - tons of hot coupons!
Olan Mills- Free photo package for babies 3months and under!
Earth's Best- Coupons
Johnson's baby- samples, coupons, and more!