I would suggest an online bank... give that a look, as well as a credit union, I use a combination of both, there's no reason to settle for less with a big traditional bank when an online bank will give you the same amount of interest on a checking account as a savings account at far higher rates, with no stupid fees set up to nickle and dime the hell out of you.
There are many online banks, the one I currently use is ING Direct, alongside a Charles Schwab account that allows me to use my debit card at any ATM in the country including other banks for free (they pay back the fees incurred at the end of the month) and a local credit union.
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