I would always ride Peter Pan Flight first (at least, if you want the shortest lines). Dumbo second, and after that, you can be a bit more flexible, because most the other lines should be fairly short. I'd more or less do ArchOwl's order, except I think I'd skip the Teacups myself.
Snow White and Pinocchio have shorter lines, even outside of Early Entry hours. (But those are also scary rides so if your 4-year-old is easily frightened or doesn't want to go, I wouldn't force her.) No need to ride the Carousel during early entry either, but no harm if you want to...just don't get in line right when it's starting a cycle or something, because then you're waiting in line for no reason. Ditto that for the Teacups, actually.
Have a great trip!