We are thinking:-3x rent gross (combined or single income)-640 credit score-No evictions or criminal history-Will verify income with paystubs/calling job-Previous landlord referencesWe will use rentprep.com since they say they verify everything that is reasonable.

It simply means tenants (occupants) of the property are responsible, pay on-time, and don't damage the property, don't indulge in criminal activities or violence nor pose threats). 

Just heard that per HUD that people with a criminal record may be protected under Fair Housing Act. http://www.npr.org/2016/04/04/472929180/feds-denying

You run the criminal background check to confirm if a applicant is a sex offender.Bottom line is you still have the ability to reject any applicant you choose for personal reasons even if it is their appearance, attitude smell etc.

Now its getting criminal, read this; https://www.biggerpockets.com/...

It's so one-sided to ask for financials and a credit report and a criminal record from a tenant when they are not really in a position to do the same.

They may end up being great tenants, but if they are unwilling to submit credit, criminal and eviction reports I would keep looking.

I use a real state agent, their able to screen (credit, criminal) the tenants and show the apartment without interrupting my schedule.

Criminals will always have a way of doing evil, stay tight on your security and it may bring you more confidence my friend.

They can also fine you and some jurisdictions have criminal offenses for ongoing zoning/permit violations.