They have a scoring system that predicts the chance the number is correct.

Conversely, if you're interested in short-term rentals, I recommend using tools like AirDNA to identify markets with high potential, based on the market score of the surrounding region.Additionally, understanding your financing options is crucial.

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

I only have about 2 grand in savings, 10 grand in stocks/roth Ira/401k, and credit score of 760.

Based on no information other than "on a budget" and "as close as possible to NYC", I would check out Belleville, Nutley, Clifton, Union County (Rahway/Linden/Elizabeth/Union), Carteret, and Perth Amboy.

each area has nice features but they are different in valuation >the ranking's in Neighborhood scout don't give any scale.neighborhoodscout provides percentages in addition to the numeric comparison score I find more useful because it is not as easy to recognize if a certain percentage is good or bad over a period of time.  

What's the lowest credit score you will allow?

BTW, I have a great agent, an 800+ credit score, a high paying tech job, no debt besides my mortgage, a home that's difficult to get a HELOC on because appraisers can't figure out what it's worth (I live in the country in a very unique mid century home), but only a small amount of cash.

Her credit score is good at 745 and frankly, we could pay off some zero interest credit card balances that would likely bring her score up near 800.

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