I love AKL and usually try to get it at 7 mos out whenever I plan a trip ( I own at VWL).
I've only done a few 1 nighters at Kidani because I enjoy Jambo more - however there are pros and cons to both
Jambo
The lobby window and the bridge on the 5th floor that gives an amazing view.
Love the pool and the hottubs and the fact that the pool at Jambo has great shaded areas with lounges that I can sit in and read without having to be in the sun.
Easy access to Mara for great refillable mug selection beverages and qs food.
Lots of activities for the kids and a great playground.
Kidani
The animal viewing areas feel closer to the animals.The Savannah view rooms are not only 5th floor for DVC members.
Great pool with a water playground for the kids.
The 1 bedrooms have 2 bathrooms.
No quick service restaurant and limited drink selection in the smaller gift shop of the hotel.
I don't think the lobby is as impressive - doesn't have the great window with a bridge.
Good luck with your decision - either is a good choice and it's very much a personal one. Lots of people prefer one over the other. Others think it's a toss up.
Have a great trip