As a denizen of Houston, my first thought of travelling here with kids is "why?"
That being said, for kid friendly dining (other than D&B) i'd say D'alba, Mia's Table, Cedar Creek, Stomping Grounds. Nono's is a great pizza place with drinks and some acade games for kids, as is Little Matt's in West U. General other kid friend dining, like Hibachi, there's a few spots around town and of course Bennihanna.
As other's have said, the Chidren's Museum is elite, and you can do that and the zoo is a hop skip and a jump away, as is the new Herman park playground and the Herman Park train and pond/paddleboating. The arboretum has trails if your kids are into exploring nature. Natural History museum is also right around there, and has an IMAX and planetarium, plus the actual museum.
Lots of indoor putt-putt places, like Puttery and whatnot throughout town. Palace Bowling in Bellaire is great. Not sure where you're coming from, but there's Dairy Ashford roller rink, since what is old is once again new.
In additon to Meow Wolf, the Museum of Illusion has opened in the Galleria, which looks decent. I haven't been with my kiddo yet, but it's on the list, and the galleria has other things to do, like a Lego store if you're happy to spend money, and ice skating.