How can I move an account in the banking tab/window so its on my "home page"

Thank you for reaching out to us here on the Community page, @FurtherAccountantBB.

The Banking page and Homepage in QuickBooks Online cannot be customized. The Homepage has it's own section for Bank Accounts in which will list all banks regardless they are connected or not.

The Banking page, on the other hand, will only show connected and imported banks.

You can always tap on me if you have any other questions. I'm a few clicks away to help. Have a good day!