I consider Cleveland a second home - one of my favorite major metro areas, certainly my favorite large city in Ohio.
I don't know how old your children are, nor do I know their interests, but everyone seems to like the Great Lakes Science Center, the Cleveland Museum of Natural History, and there's a very good zoo as well. I'll just post this link, which has quite a few things children would enjoy (the Great Lakes Brew pub on the first page may be of interest to the grown-ups; I sure like it!):
http://www.tripadvisor.com/Attractions-g50207-Activities-Cleveland_Ohio.htmlIn defiance of the naysayers, I will defend Cleveland to the death. Consider these examples:
* Playhouse Square has the second biggest amount of Broadway theaters outside of NYC
* Cleveland Orchesta generally ranks 4th in the world
* Cleveland Clinic and University Hospitals/Rainbow Babies are world-renowned (as evidenced by royalty and celebrities flying in on a regular basis)
* Consistently makes lists for affordability and sustainibility
* Downtown population has been increasing every year for the past decade (and has been increasing at a higher rate the last two years)
* A rich history that has been preserved in many, many regards
There are truly great people, places & things to do in the city. At the end of the day, any city - and your experience in it - is what you make of it.