Hi Leslie,
One of the things I love about the
Art of Animation resort -- in addition to the great pools, theming and food court -- is the fact that it doesn't share buses with other resorts. There's a single bus station in front of Animation Hall with buses destined for each of the four theme parks and
Disney Springs. As soon as you are on the bus, it's a straight shot to your destination.
So, I would definitely take the bus directly to
Magic Kingdom. Once the wheels start rolling, you should be at the entrance to Magic Kingdom in about 20 minutes. That's just a few minutes more than the ride to
Epcot, where you would need to transfer to the monorail, then transfer again at the Transportation and Ticket Center to reach Magic Kingdom.
Thanks for stopping by the Disney Parks Moms Panel with your question. Please let us know if we can offer any more tips or advice as you plan your June visit.
Wishing you a magical stay at Art of Animation!
Wilma