Download Disney app and check the waiting times for attractions today and tomorrow. There are certain rides that will be long wait all day long, but there are some that will not have long waiting lines for a few hours after opening.
Come at 9.30 and go to Fantasyland the moment you arrive, there'll be plenty of rides you'll be able without waiting in lines with little ones. Then switch to Adventureland, Pirates of the Carribean are usually walk on attraction till 1 pm, same with Phantom Manor.
Use hectic times when waiting lines go ballistic for walking attractions like Alice's Curious Labyrinth, Robinson Tree House, Adventure Isle.
Bring lot of water and snacks.
Don't miss shows - especially Lion King and Mickey and the Magician, your little ones will probably love Disney Juinor Factory. Lines may seem long, but theatres are huge and there is no need to buy tickets.
If you have mastercard, go to City Hall and they'll give you one theatre reservation for free.
Have fun, you'll love it.