Like if they do the application after they buy the business and they have criminal history and low credit I'm not sure I would want them to sign a lease.

Oh well, it's like I've said for a long time, we'll always have criminals.

Realistically, the only criteria you should be reviewing your tenant on is Credit Score, Income to Rent Ratio, and Criminal Background check.

Poor screening often results in lost rents, legal & court costs and costly damages.Screening of applicants includes the following:Full credit/eviction/criminal checks are done, instead of score-driven reportsVerification of rental history includes validation of actual property owner to avoid fraudVerification of stability of income & employment via YTD paystubs & W-2(s) (analyzed to confirm not fakes)Income is calculated 3 ways to spot stability anomalies: pay period, YTD average and YTD + W-2 average.Debt-to-income analysis (more accurate than traditional 3x rent requirement)Bank statement to see if NSF issues, if deposits support income, prove MoveIn Funds, also analyzed for unusual transactions.Pet screeningHolding Fee required from approved applicants to make sure they are serious, before a property is marked pending.

No offense, but...really?!

In Hyde Park and Oakley, you are probably closer to a 0.75% rule, but you will have your choice of tenants with high incomes, savings, no criminal background. 

A brief personalized approach with a quality mail piece (not just a postcard) can hardly be offensive to a motivated seller. 

(No offense Property Managers!

Turned out the guy had a long criminal history and had drug issues.

Check out their track record, their team, their underwriting, the history, their plan, have someone else look over, ask the hard questions, do a criminal background check.