MBNA doesn't exist anymore, they were taken over by Bank of America.
There are two ways to establish credit: get a credit card or at least a some sort of store card that gives credit via some company you already do business with, e.g. if you have a phone account with Pacific Bell, apply for a Pacific Bell credit card.
They will base the card issuance in part on your bill payment history, so your credit score will be a teeny bit higher. This is what I did, also I got a Sears card and that helped too.
The other way that has come along since I lived in the US is get a secured credit card. Banks have started doing this so that Mexicans can get a credit card. You basically give them a security deposit of $300 or have a bank account with them with at least that much in it and you get a credit card with a limit up to $10,000, based on what the rest of your credit history says.
For example.
Steve.