My rental is a bit of a drive for me about an hour and a half, so I do screen on the phone.
These are my requirements . Employment is number one. I have a family that lost there house a couple years back, but the father managed to keep his job though the whole mess. He has held the same job for over 10 years ( really good tenants ) .
After I talked with them on the phone and liked what I heard, I asked them for there address of there current residence and go visit them with out them with out them knowing I'm coming. This may sound kind of rude, but I want to make sure there property that there currently living in isn't trashed. If it is the deal is off. I have been to more properties than I can count that have been a horrible mess.
Then I still run a credit check and eviction search. If all is good with there income 3x to 4x there rent then there in.
This may sound like a lot of work but trust me an eviction in CA is a nightmare.