BOMA!!!
(unless you're staying at the BC, BCV, or YC for Cape May convenience)
The offerings for children are similar at both - mac and cheese, pizza, chicken fingers, etc. I think CMC has hotdogs and Boma has pasta and meatballs...? DS loves Boma because he can eat as much watermelon as he likes. He also enjoys the kids foods and the prime rib, the desserts, and seeing the animals when we arrive and leave. And the waitstaff spoiled him rotten. He went up with me to get prime rib and the lovely gentleman who was carving quietly handed him a plastic container of gummy bears. DS was smitten right there! But he loves CMC as well - this time it's the corn on the cob he overeats.
You can't go wrong with either, but Boma is just outstanding! Kids have plenty of options, adults have even more options and you can spend some time enjoying the African animals. Yes, Boma has more exotic offerings, but the children's selections are basic and familiar.
So unless YOU prefer the clams, mussels and shrimp at CMC, I would go with Boma.
(PS: if you do choose CMC, you have to try the Oreo bon bons! And Boma of course is famous for the Zebra Domes).