Beachwood is a great area. How far away do you want to be from his job? The Twinsburg area is great too. Wonderful schools, low crime, etc. Also the home of the Twins Days Celebration where twins from all over the world come to celebrate.
Stow/Cuyahoga Falls is great. I live in the Falls and work in Beachwood. (It's about a 40 minute commute, which most people don't like),but I absolutely love it here. There are probably a dozen city parks, free concerts every Friday night during the summer, Irish and Italian festivals every year, lots of culture, great places to eat, sidewalks everywhere, etc.
Good luck with your move!