Hi Kara!
Thanks for your question and for visiting the Disney Parks Moms Panel!
Your question is both an easy and not-so-easy one to answer.
The short answer is that
Disney Springs is approximately 5 miles from
Disney's Animal Kingdom. This is about a 12 minute drive depending on time of day and traffic.
The not-so-easy part is that there is no
Disney resort transportation that goes DIRECTLY from Disney Springs to Disney's Animal Kingdom. Instead, and this is actually pretty simple but will add some travel time, you can board the bus to
Disney's Animal Kingdom Lodge...the RESORT...which is about another mile or two PAST the theme park. From there, you would simply hop a bus back towards the theme park. It's not exactly direct but it is the easiest way to get from Disney Springs to the park.
I hope this helps and I wish you a Magical trip!!
Chris