Hi Jessica,
Thanks so much for visiting the Disney Parks Moms Panel with your question. Sounds like you have a very fun day planned, starting at Disney's Animal Kingdom and heading to Disney Springs. I love how you are taking advantage of the many activities at Walt Disney World Resort!
Sometimes, Walt Disney World has offered bus service directly from
Disney's Animal Kingdom to
Disney Springs. Of course, if this is available when you are there, this would be the most efficient route. You will know if it is offered because this bus route will be indicated on the bus route sign at Disney's Animal Kingdom. If not, you have a couple of options. The most direct route is probably to take a bus to Disney's Animal Kingdom Lodge, and from there, catch a bus to Disney Springs. Another, more relaxing option would be to take a bus to Disney's Old Key West Resort or Disney's Saratoga Springs Resort & Spa and catch a boat from either of these resorts to Disney Springs.
I hope that this information is helpful for you, Jessica. Have a great time planning your Disney vacation, and please do let us know if you have any further questions.