ACTION LINE: How should I screen potential tenants?

Dear Action Line:  Recently, I purchased a four-unit apartment complex. I'm going to live in one and rent out the other three. Can you give me some advice on screening tenants? I really don't want to rent to anyone that will throw loud parties or be late on their rent. How can I be sure to get good, solid tenants?

Dear Reader:  Renters often times will only give you names of people who