Karenn,
We have Bank of America accounts and really like them. Their online bill paying is fantastic. Definitely keep your credit card account open. When you move to the UK, it can sometimes take some time to open a bank account (2-3 weeks), and american checks take a long time to clear here (other posts on this site have said 6 weeks or so). Also, because (most likely) you have no UK credit rating, doing anything that means getting a credit check can be a hastle.
Check with B of A to see if there's a way they'll give you the account w/o the service charge. For instance, our mortgage on our US home is with them so we get something like 2 free checking accounts, free savings accounts and safety deposit boxes etc. Even if you don't have that, it never hurts to ask.
Good luck with your plans!
Stephan