Just about any bank can open a joint account. 

@Chris ShonYes, a real estate accountant is worth what you pay them.

If you have an LLC, the accounts should be business accounts in the name of the LLC.

You can collect rent, do your banking (unlimited virtual accounts), and do your accounting.

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.

Bingo that might be it.

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. 

It can just be held in a savings account, no special account needed, but I always keep mine in an account separate from anything else.

[1]    You might want to think about opening 2 FDIC insured savings accounts that have no fees.

I do all accounting for properties and company in Rent Manager.