I am self managing the property - been doing since August and had dream tenants.
So I sent them an application form which I downloaded form the web and in amongst (much like REA use). One of his references was his DAD. Paydirt! Dad spilled the beans. I suspect he wanted to be found out and helped. He wasn't sneaky..just being lead.
For a background check, I do the TICA site, ring the boss, read the payslips, ring the 2 references, the last rental agency and anyone else on the form. And I read the rental ledger that they send me.
I act like an agent.