My issue is figuring out how to cash flow it.It’s hard to get accurate numbers with Cleveland properties ranging in quality.

I'm not an expert in Athens to be honest.But I'd look mostly into areas close to the metro (underground) stations, and also into the high end areas...

:Class A Properties:Cashflow vs Appreciation: Typically, 3-5 years for positive cashflow, but you get highest relative rent & value appreciation.Vacancy Est: Historically 10%, 5% the more recent norm.Tenant Pool: Majority will have FICO scores of 680+, zero evictions in last 7 years.Class B Properties:Cashflow vs Appreciation: Typically, decent amount of relative rent & value appreciation.Vacancy Est: Historically 10%, 5% should be applied only if proper research done to support.Tenant Pool: Majority will have FICO scores of 620-680, some blemishes, but should have no evictions in last 5 yearsClass C Properties:Cashflow vs Appreciation: Typically, high cashflow and at the lower end of relative rent & value appreciation.

Do I need to hire an attorney to evict my tenant who, is a single mother with 2 high school kids?

It's definitely not more than 8 hours per month to manage this from a high level. 

You can also ask for a 'Seller Credit" which helps cover closing costs or buy the rate down if you come in high enough on the purchase offer.

First, a title search is only as good as the searcher doing the search and the quality of the records being searched. 

SD has a historically high appreciation rate and it sounds like you also did a lot of work to it. 

I would highly recommend attending this as often as you can.

Specifically in this sellers market where the rental demand is so high.