There are a lot of things to do around Kidani Village and Jambo House. Remember that as a guest at Kidani you have full access to all the amenities at Jambo House, too. Here are a few things about AKV that you might find interesting:
All Disney buses going to the Parks stop first at Kidani Village and then Jambo House. The Downtown Disney bus stops first at Jambo House, then continues on to Kidani Village before going to DTD.
There is a free shuttle van that goes back and forth during the day between Kidani and Jambo. Check with Valet Service to see when the next shuttle is available.
AKV offers a night time viewing of the savanna animals. Guests can use night vision goggles to see the animals. Check with Concierge to find out where and when its offered.
A personal favorite of mine is interacting with the Cultural Representatives from Africa and the Animal Caretakers. Its interesting listening to the cultural reps talk about their home countries and how it compares to life in the U.S. The animal caretakers share insights into the behavior, quirks, and personalities of their animals, and can give tips on when or where its best to view certain animals.
Speaking of animal caretakers, AKV offers a special luncheon at Sanaa Restaurant called "Sanaa Dine with Animal Specialist." Its usually offered once or twice a week. The luncheon is limited to 10 to 12 guests and your host will be one of the Disney Animal Specialists. If you search for dining options at Kidani's Sanaa Restaurant you'll find more information about this special dining opportunity.
I'm sure you'll have a great stay at Kidani!