I'd see if you can get a credit line increase and transfer as much as you can to the lower apr!!!!!!!!!!!!!!!! You save about $50/month just by transferring $9,000. Just watch out to see how much the BT fees are up front. I have been playing the BT game for years to save money. I get my debt paid down much faster using them. If you have a BT offer and do not use it, it's like throwing away money.

As far as the effect of a BT? Haven't seen a scoring effect that mattered. Lower debt has a far greater effect on score. If it helps you pay it down faster, do it.