Hi Michelle!
Congratulations on your family's visit to the Walt Disney World Resort!
Any Disney Resort Hotel would be perfect for your family, but if any of the kids still nap, and your budget permits it, I would definitely recommend a "monorail Resort" in the Magic Kingdom area.These include Disney's Grand Floridian Resort & Spa, Disney's Polynesian Resort, and Disney's Contemporary Resort. However, these are Deluxe Resorts not mid-range category resorts. Regardless, easy access to Monorail Transportation make them very attractive choices. Both Magic Kingdom and Epcot are easily accessible via monorail.
In the mid-range price category, or Moderate Resort category, I would recommend Disney's Port
Orleans Resort - French Quarter. Read why HERE . Alternatively, opt for Disney's Port Orleans Resort - Riverside (POR). Read more about POR HERE. When making the reservation for your rooms, make sure to specify you want two "connecting rooms." Read why HERE.
Find out my top ten tips for making your family's vacation even more magical by reading HERE . Please let me know if I can answer any other questions for you.
Enjoy a most magical visit to the Walt Disney World Resort!