Local banks.

Just about any bank can open a joint account. 

if you have an LLC and both properties are under it, you just need 1 operating account.If both are under your personal, 1 bank account specifically for the rental is enough for operating.Security Deposits should always be a separate account altogether.

Realistically, one checking account and an accounting system will meet all your needs and keep your business better organized than 7+ bank accounts.If you want to collect bank interest from excess cash, add a savings account.

We also have a bank account at a smaller Chicago community bank, but there technology isn't as good to be honest.I think @Jonathan Greene's main point is don't step over dollars to pick up pennies. 

May just be the accountant in me.

Quote from @Carlos Silva: Has anyone tried velocity banking?  

@Andrew Watson I have a similar setup - One series LLC to One bank account.

When you go to a Bank or Credit Union, they can only offer you what products that bank or credit union offer.

Bossier partner managed property and repairs while we managed business structure and banking account setup.