I use a local bank, but since I use a checking account, this is what I look for:
Minimum required to open the account.
Is a minimum balance necessary before I'm charged a service charge--other than the check-cashing charge?
Check Card.
Now, see, this is where having a checking account CAN differ from a savings account. Most places won't take a simple ATM card for payments. Nowadays, they want a debit/check card with a credit card logo on it.
Many savings accounts don't issue that kind of card--only ATM. But, I believe there are some that do.
So, I would suggest looking at those criteria--along with interest rates.
Jam it back in, in the dark.