The best you can do is your best effort due diligence.
1. Credit check/criminal history check. We do this using a service for every tenant and provide them a copy. It costs us $50. Make sure there is a non refundable charge for this.
2. Reference letters. Although they can be meaningless, the effort will show you are looking and possibly scare away bad renters. If they provide letters, ask that person for another name and contact of someone not on the list whom can provide info and then call that person yourself.
3. Have a lengthy list of do an don'ts and explain that you run a tight business which is professional and thorough. You mean business! Provide this with your lease. Reading this list, signing off on it if you move forward trains your tenants forward from the start. Have a personal sit down with them and go over it line by line together. Again, set the standard from the start. You are running a business!
4. Meet them in person and make sure your first impression of yourself says "I mean business". Dress professional, be pleasant but in control, you are not buddy buddy, you are the owner of the business. It sets a high standard from the start.
5. Be consistent in this due diligence for all tenants to show your process. Protects you from discrimination issues.
6. Be sure to clearly explain the ramifications of trashing your place up to and including legal action if need be. Then do it if you need be!v No idle threats.
Finding good tenants is always a crap shoot but the land lord can do these things to at least try to weed out the obvious bad ones. The simple process of looking into history, credit, background and references has scared away many bad tenants for me. The just fall out on there own. The process also gets them nervous and talking and then they reveal even more information to me. It my "spidey sense" starts talking to me it us usually because my experience is sensing something. Listen to that and don't cut corners on your processes. It can be hard when you are looking at a lost month rent but the lost rent can often be much better than the mess you create because of the bad tenant. Hope this helps.