Also credit score 680 with no missed payments over the last 2 years and also check their criminal report just to make sure you know who these tenants are, as the eviction process in New York city is very long and expensive. 

What documents do they require, what credit scores do they allow, how do they verify previous rental history, etc.?

The only example I can think of is that I asked an applicant questions about their credit report.

What's the lowest credit score you will allow?

On the flip side, if you've got a bunch of Section 8 tenants living in a building that's in a neighborhood where a lot of the tenant base has good jobs, high credit scores, and are generally reliable people, you've got the most risky tenants in that tenant base and that ain't what ya want.

I looked around and found lenders that will do a day out of foreclosure up to 50%LTV down to a 500 credit score but the loan amount minimum must be 300k.

Score.

I don't take a credit score as a reliable metric in my market.

In our opinion, Class C tenants have FICO scores from 560 to 620 - where their chance of default/nonpayment is 15-22%.

After I got an LLC set up, I was set up with a credit coach and he is helping me get my corporate credit set up.