Selling my almost paid off car to pay off credit cards then buying a hybrid?

The title basically says it..but here are the finer details and questions I have first.

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Car will be paid off after 2 more payments and KBB says its worth 12-15k.

The only way I would agree to do this, is if the dealership will give me minimum 13k to be worth it, cause I have about 13k in cc debt and the high interest rates are continuing to accrue, while a new used car payment interest rate will be significantly lower..than my average 26%+/- CC interest rates. (Id use 2k from the trade in to put towards new car)

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My credit score is around 700 right now, if that matters, and I want a hybrid because I have an hour commute to work, 4 days a week, so 8 hrs of driving a week, just including work.

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Is there something I should say when I call my CC companies to pay off the balance? I have heard they sometimes will give you a better deal if paying in full but idk how true that is or what to say to get that..or should I transfer my balances to a zero interest card then do it?

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Is there a better way to do this or am I on the right track with my plan? Any tips?

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Thanks in advance!