We had success w/ our kids at both Narcoossees & Flying Fish, both have good kid options. There were also plenty of families there both times we went. Our children are a bit younger than yours - their ages are 18 months, 3, & 4. Age 7 should be no problem at all. We're trying Jiko & Brown Derby on our upcoming trip in September, they also had good kid options available.
We love the California Grill. We've taken our son there several times since he was around 8. The food is wonderful, the views can't be beat and Wishes from that vantage point is perfect!!!