If you are changing your name after marriage, you will need to notify your bank of the change so that they can update their records. You do not need to close your existing account and open a new one, but you will need to provide proof of your name change (e.g., a copy of your marriage certificate). Once the bank has updated their records, they will issue you a new debit card and checks with your new name. If you have joint accounts with your spouse, both names will need to be changed on those accounts.