Hi Lynna!
Welcome to planDisney.
I am very happy to answer this question because I took the first bus to
Disney Springs this morning! Admittedly, I'm not staying at Disney's Art of Animation Resort, but the timing is the same for all Disney Resort hotels.
Disney buses run during the opening hours for Disney Springs (which is 10.00am - 11.00pm). There are a few places that open earlier than 10.00am, such as Earl of Sandwich and the AMC Disney Springs for your special showing of Moana 2 at 9.30am.
The first bus arrived at my Disney Resort hotel at 9.27am. We arrived at Disney Springs around 10.00am. I would strongly recommend that you use a Lyft rideshare on this occasion, as there's not really any other option to take you there for such an early show-time. If you download the Lyft app to your phone, you can see all the available vehicles, and various price ranges. I have used them many times while at Walt Disney World and have found them to be efficient, reliable and reasonably inexpensive. You'll need to select your drop-off point at the West Side Rideshare (by the Strawberry Parking Lot, just close to the Cirque du Soleil Theater). Please do not choose the Marketplace Rideshare as it's located right over on the other side of Disney Springs! This
map of Disney Springs will help you find your bearings - the AMC is #20 on the map, and the Strawberry Parking Lot/West Side Rideshare (Bus Loop) Hosted by Lyft is on the far left of the map.
Please come back and visit us if you have any further questions, and you can
send me a direct question if you wish. We are always happy to help you plan your magical vacation to Walt Disney World!
Sue