Howdy Elise!
I LOVE Disney's Art of Animation Resort. It's a great resort, the pool is amazing and I think your kiddos would love it!!
However, based on your party size and the ages of your children, I think
Bay Lake Tower at Disney's Contemporary Resort is the perfect selection for you. My kiddos are similar in ages to yours and Bay Lake Tower offers many wonderful amenities for Guests of all ages, and particularly families with young children.
Let's begin with the location. You will LOVE being able to WALK to and from Magic Kingdom! The pools are great. Chef Mickey's is a wonderful character dining experience located in the Contemporary and you will have easy access to the monorail.
The 1-Bedroom Villas (and larger) at Bay Lake Tower are fantastic!! You will find a well equipped kitchen as well as a full size washer and dryer (yay!)! Bay Lake Tower also offers the wonderful perk of having two full bathrooms in the 1-Bedroom Villa!
The master bedroom has a king size bed and shuts off to the living area where you will find a queen size sleeper sofa and twin size pull out mattress in an oversized chair.
Bay Lake Tower is one of our favorite resorts and I know you will love staying there. Regardless of which resort you select, both are very popular so I would encourage you to book your vacation as soon as possible.
Thanks so much for your question and please let me know if you need any further information as you plan your vacation. Have a magical day!