Boma has a children's section on the buffet with the typical kids selections. They also have a very nice selection of fruit and some wonderful desserts. I think most people can find something they like there. However, like everywhere else, its hard to say what anyone will like for sure! I think its a great place, with a good combo of unique foods mixed with some safe and typical American fare. Its also quite fun to be at the AKL, if you are going while its still light, try to get there early so you can go out and enjoy the savanahh viewing spot.
I do agree with others about O'Hana and Chef Mickey's. Those are great fun too and we enjoy the food at both. But I do think you have a very nice mix of fun, character meal places and given that you will see Cinderella at CRT, pooh characters at Crystal Palace and Mickey and friends at Garden Grill, plus the fun of Prime Time, I would say your kids will have plenty of kid oriented places to enjoy. My picky daughter loves Boma because she loves fruit, chicken nuggets and mac and cheese and they have that so she is fine while my son, husband and I get some more adventurous food! While I love Chef Mickey's if you do decide to change, I think O'Hana would be great. You have a few character meals, and O'Hana will gladly bring your dd a hot dog or nuggets while the rest of you enjoy the grilled meats and Polynesian side dishes. And they have fun games for the kids to enjoy either by watching or participating.
And I have to add, we had a wonderful meal at Shutters last December. Like you, we were staying at CBR and it was nice to eat there one night when we were so tired. And the food was really, really good.