Merely type your bank's name into the "Search box" and you will find out your bank's rating, you want at least a "C"..: Screener - TheStreet.com
Bank of America has a C. My bank (RBS Citizens) has a C. Search by State rather than bank, ie leave the Bank box Blank
Banc of America is the broker/dealer securities firm. They have the C because a commercial bank must be different than the securities firm. SEC rules.
My understanding is that credit unions are not newsworthy due to them being fine. Everything I've heard about them is positive as they have been as insulated as possible from what ails the troubled banks.
First, they dont' have to mark to market. Second, they hold a lot more of the loans they originate, third, a lot of them didn't get into subprime. They can still get in a bit of trouble because of the financial crisis, but they mostly averted most of the trouble the commercial banks got into.