Do they open up a new account for us and send us statements and cash flow monthly or just take our current accounts over/get access to our current banking systems?

Why do you think a bank on a construction loan or rehab loan gives draws?

I was fortunate, again, to have my father co-sign on most everything, but Bank of America got so granular, I had to explain a $300 deposit in my account for selling a couch on Craigslist along with every SINGLE transaction over about 3 month period.

I just handled my father-in-law’s estate and thankfully he had everything (i.e. cars, house, bank & investment accounts, etc) in the trust.

The purchase is usually (but doesn't have to be) funded by a combination of a down payment from you and a bank loan made to the EAT but secured by you. 

I’d really like to establish a relationship with a local bank/credit union early on.

This is according to Fannie/Freddie...where it gets confusing is that banks are allowed to have OVERLAYS.  

He also couldn't rent it for enough to cover his payments.So he had 1 month before the bank would start foreclosure proceedings and he was desperately trying to just break even, that's all he could hope for.When I offered to take over his payments, what do you think he said?

These means, the funds have to be shown on two banking statements with no "deposit" associated with it. 

Looking to use creative financing though because I'm not interested in dealing with the banks and their stringent rules.