Another Cincinnati native here...
Hyde Park is still nice but the public schools (except Walnut Hills) are indeed a crapshoot.
If you decide to live on the Ohio side, you may also want to consider Sycamore Township, Kenwood, Montgomery, Mason and West Chester. These are all on the north (or northeast) side of town which, unless you have a suitcase of money to burn, is much closer to DAY, where the air fares are typically 30-50% of what you'd pay for the same destination out of CVG.
Another thought: as you will be working out of your home, you may also want to consider Springboro, Centerville or Washington Twp., on the southern side of Dayton. Still provides easy access to Cincinnati, but these communities are closer to the airport at DAY.