What you are thinking of doing is not possible.
The only move possible is a business account converted to a personal account (this is not reversible).
A personal account is to be used by an individual only though.
What you can try to do is email firstname.lastname@example.org and see if they will allow you to create a business account (since you already created page, the normal process is page then business account). From there maybe just maybe you can have the business account handle control of the page freeing your personal account.
Please be aware that managing multiple
accounts is a serious violation of
determine that an individual has more
than one account, we reserve the right
to terminate all of their accounts.
So be sure you explain carefully and clearly in your email.