Hi @Bradley M LeMasters I've lived on the west side of Cleveland my entire life (30+ years now). Just between the two areas you are looking I suspect you will see more long-term appreciation with Avon Lake. If you have noticed, Avon and Avon Lake have a TON of new (very large and national) retailers moving in the area. All you need to do is take a quick drive west on 90 and you will see it all from the highway. There is also a ton of new build homes going into the area. I think for buy and hold that is where you will see better appreciation.
I agree with the other users comments about expenses to consider and since I tend to focus my investing on the near west side (Ohio City, Tremont, Brooklyn, Old Brooklyn and Kamms Corner) I'm not as familiar with rents, taxes, utilities, etc. out that way - so I'd do some research on the differences.
To your point about family, Lakewood is a great city and very rent friendly, you will have no problem finding renters in that area. But, as with any good, the downside is you are going to be paying a premium; there is a lot of in and out of state investment in Lakewood and I've found the market too competitive to cut my teeth on.
Hope it helps and good luck with your search.