Terry's Turf Club, is kind of a hole in the wall place. The best burger I have ever had in my life, I've been there a few times and every time, it's just as good.
http://rodeo.cincinnati.com/ent2/entity.aspx?e=215894
Rock Bottom, downtown has pretty good steak. I've seen families in there a few times.
http://www.rockbottom.com/cincinnati
Montgomery Inn on the Ohio River. Good view of the Ohio River, family friendly.
http://www.montgomeryinn.com/
Arthur's Cafe in Hyde Park, is pretty dang good too. They are also family friendly.
http://arthurscincinnati.com/
I can think of more places, but they are not family friendly and expensive.
Like, Boi Na Braza downtown. I've eaten there a few times, it's so good and worth the $50 per person bill. Make sure you don't eat all day if you go there, you get your moneys worth.
http://www.boinabraza.com/
Name a place, and I might of eaten there. Haha, I don't know how to cook.