Hi, Amanda! I just love picking which resort we are going to stay at next! There are so many great options!
I think
Port Orleans French Quarter might be a nice option for your family. This Moderate Resort has just over 1,000 rooms making it the smallest of the Moderates. There is a nice food court, fun pool, game room, and boat transportation to Downtown Disney. If you want, you can even take a 10 minute walk to its "sister resort" Port Orleans Riverside for even more fun: you are welcome to enjoy their pools, food court, and even a sit-down restaurant for dinner.
The rooms are a bit larger than a Value Resort, but not huge. You will get an extra bathroom sink which is nice for families. The resort itself is quiet with nice areas to walk around and lovely benches where you can relax and enjoy the Florida sunshine! My family absolutely loves this resort and we stay here fairly often.
Have fun planning your next magical Walt Disney World vacation!