Pro tip:
Don’t close your old account right away. It could take a week or more for your new account’s debit card to arrive in the mail and there may be other hiccups with your new account. By leaving your old bank account open for a couple of weeks or months, you can use it as a backup, just in case.
Of course, be aware that if your balance drops below your old bank’s minimum requirement, you may be charged a monthly fee.
