You can get a list of the property taxes by city from the county auditors office, here's a link to the chart:
http://www.treasurer.cuyahogacounty....eRateChart.pdf
As far as the best to live, you didn't say where you would be working and commuting time is a big part of any budget. Many people coming here are gonna work at The Cleveland Clinic. I tell them Brooklyn, Brooklyn Heights, Seven Hills, Independence are all low tax, relatively safe, relatively low cost of living and close to downtown. Personally, I don't like public school system anywhere. So, I recommend private school or home school. lol
You have Metro Park system on Westside. It is relatively safe. You can find place to fish, golf, baseball, football, volleyball, hike, bike, whatever you like. Beach is on far westside; called Huntington. Rocky River is nice place, but tax is higher. A lot of folks are going far South, but the commute in seems ridiculous and home cost is relatively high. Although, tax is usually low. At least, until they develop. lol
Shopping is better further South/West, also crime is lower, but property taxes go up and so do home prices. I use "Tax as a percentage of Market" to compare tax rates.
I don't know what policing is like in Florida, but in Cuyahoga County you should know local criminal code, take it seriously and be aware of penalties. If your town doesn't have it online, just compare local areas; they are virtually the same. Do not except "common sense" from law enforcement. That is no longer realistic. However, I wouldn't let that scare you off. This crap appears to be a National Trend and the police here are generally civil and try to be understanding. Although, sometimes the criminal code "ties their hands." Within the city of Cleveland, response times can vary wildly; they are understaffed. So, you should be prepared to provide your own protection in town.