Which national bank is best?

I’m planning on cancelling my bank account and switching to a different bank when I leave college. My college is out of state and I’ve been using PNC for the past 4 years. But there is no PNC in my homestate so it will be time to switch back to something else.

I’m really torn on who I should go to. I’m leaning toward BoA because their online banking and ATMs are awesome. Here are my needs:

-debit card
-some sort of small savings program that will allow me to save up money as I go
-don’t want a monthly account fee
-really don’t want a “minimum amount” requirement in account
-need some checks (but don’t need a lot)
-will do direct deposit in the future
-want a bank with a ATM near me (I’ll be living in a bigger city) that I can deposit checks into on the go
-online banking, tracking spending

I have no credit (I do all my spending on debit) but I would like to get a card through a bank that would help me build credit by me buying stuff and then paying it all off on time.

I basically don’t like to deal with tellers very much. I do all my stuff online and via ATM with PNC so I would like to do that again with another bank.

Any insight?