Having been in your position, my girls are 4 and 2, I would say Jambo. We own at BLT, but due to last minute planning have happily ended up at AKV at least 6 times in the last few years. 2 stays have been at Kidani. First time we had a one bedroom. Second was a studio and it was a food nightmare. One night we had a kid who went off the typical schedule and we missed our ADR. By the time she woke up, the other had fallen asleep. It was such a pain to truck to the other resort with a sleeping toddler and infant. We ended up buying bread, Pb & j in the gift shop and ate in the room.
The pool is great, for sure, but for us having a quick service is a better trade off.