There's no need to transfer from the old account. You can continue to use the old account on the new computer as you always have. Just because you used a new Microsoft account to setup a new computer doesn't mean you have to stop using the old account.
The only thing to keep in mind is that the BitLocker recovery key for the new computer is stored in the Microsoft account that was used to setup the new computer. Make a copy of that recovery key - make several copies - and store them outside the computer.
You can forget about the new account for all intents and purposes. But keep a record of that account's username and password, just in case you need it. I have so many Microsoft accounts ... some were setup for a single transaction.