tenant screening logistics for newbie

[Roy Mitle]

This is my 1st rental so first time

Is there a good rules of thumb people follow while screening tenants. 

I guess the main thing is background check, credit check and making sure they have enough income to cover the rent. For background check I am just making sure they have no criminal past and have no evictions. For credit check just making sure they are responsible => have a credit score above 700? 750?. For income I will just look at past 2 month's paystub to make sure they have a steady income.

Pls let me know if I missed anything.