What kind of Surfboard for what kind of wave?

I'm about four weeks into surfing and doing well. I'm addicted to it like nothing else. We are using 10 foot long boards that are completely styrofoam (I know I didn't spell that right). I wanted to go smaller and try some different style of boards but a friend who has been doing it a little longer said you don't want fyberglass boards for the small waves we're on. Is there a type of board (make and size) that is specific to the waves you're on? Or is it just a board that is measured to your specifications and less to do with the wave?