You can transfer a board from one account to another by adding your work account as an admin for your personal boards. Then, you can leave those boards from your personal account.
How to add an admin: http://help.trello.com/article/790-making-a-user-an-admin-of-a-board
How to leave a board: http://help.trello.com/article/804-leaving-a-board-in-trello
Let us know if you have any questions!
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