Things I look for, and include in my listing: no evictions or major criminal background issues, take home income at least 3x monthly rent (this is personal requirement, and higher than the typical rent = 30% of gross).  

I just stubbled upon mysmartmove, it charges the applicant $25 to $40 for an extensive screening which includes; credit score, criminal background, eviction history, and bankruptcy.

Hello,I was wondering if anyone knew any trustful websites (preferrably free) which provide tenants background check report service including felony/criminal charges.

That increases cash flow comes with substantial more risk of tenants not paying, tenants causing significant damage, and potential criminal activity.

And if they apply and pay the cost I run their credit and criminal. 

As long as they don't have any evictions, major crimes on their record, and an acceptable credit score / history, I'll then do the next level digging.Zillow won't always give you the details you need about a criminal charge, so you'll either need them to provide documentation regarding what the charge is, or get a background check.I'll typically ask for copies of pay stubs or bank statements to verify income if they didn't already upload them to Zillow.

SEC 8 ONLY screens for criminal. 

For example, by making it clear that every adult will have to pay $30 and submit to a credit/criminal screening, you will probably eliminate 1/4 - 1/3 of these applicants.

Zillow may or may not be fine for that, but you never should stop with the credit report and criminal check. 

My super smart attorney has summarized this for me several times: "Most lay people confuse civil liability with criminal liability.