Capital One have a 0% BT fee in the credit card section at the moment - the only deal I am aware of with 0% transfer fee.

The basics of this are you apply for a new card (many are available with 0% BT - however most have a 3% transfer fee), and depending on which card it is, they all have different 0% BT periods (some 15 months).

You can transfer you balance from your current card to this new one and pay no interest for the duration on the balance transfer, once this expires you will pay the going APR rate.