Similar situation.
I have a combined credit card balance of about $20,000 across 4 cards.
I want to offload most of my cards on a 0% 18m BT and make payments on that, and close some of the newly freed accounts.
after that I would apply for credit card consolidation or negotiate with the issuer for a payoff rate.
Does this make sense?
See how much credit you can get at 0%. (Don't forget that there's 3-5% transfer fee. But that's still way better than 15-25% interest.)
make minimum payments on the 0% and pay off as much of the rest of the debt as you can. In a year or so, see about getting the rest of the debt onto a 0%. And the old 0% will go up to 25% or whatever.
The key is a) not spending more than you can afford. b) paying off as much as you can as soon as you can.
In most cases, it's bad for your credit to have the debt excused away. So I think you should try to pay it off. At 1K/ month, 20K takes 2 years to pay off.
Be honest with yourself about how much you can squeeze together each month for payments. And pay, pay, pay it off.