Yes, you definitely need to close your old account! You may be tempted to leave your old account open just because it’s easier. But if you do that, your old bank could charge you a “dormant account” fee due to inactivity. Don’t go halfway. When you decide to switch banks, make the full transition.
You can customize your debit or credit cards with a second line. Have a favorite nickname, sports team or just something fun you want to include?