also find an experienced and active realtor in Cleveland thru http://www.realtor.com or just google RE in Cleveland and most likely he or she will guide you to find the info you are looking for.
As for a "safe" neighborhood, the standard response is to check with the local police department and ask about safety.
After you've done your second-level research, then actually go into the communities. Drive around. Spend some time. Walk the streets. Does one "feel" right? Do some "feel" uncomfortable? Talk to the people you see. Ask them the questions you're asking here. See what they say. That, really, by far is the best way to do it.
Hope that helps.