I consider myself to be a picky eater... but i've gotten a lot better lol.
I've been to both places and really enjoyed both!
Boma has a lot of unique foods, but they are all really good. They also have a childrens station with mac and cheese and more "normal" foods, so children shouldn't have a problem here.
Teppan Edo is good as well, you can order steak, chicken, shrimp or vegetables, and they all come with noodles and rice. We went with a big group, and there were 4 kids, and they all seemed to enjoy the food!