I, too have made that decision and am now working my plan.
Without knowing more about your particular accounts, it is difficult to give you specific advice, however, from a strictly economic standpoint, paying the highest interest rate account off first will save you the most money in the long run. See if you can negotiate the interest rate down on some of the accounts. That will also help. If they are unable to do that, see if they will make a lump sum settlement for 25 – 30% of the balance. (Only if you have the money to do this in short order.) After doing these things, go back to making minimum payments on current accounts, pay the most you can on the highest interest rates and get a second job or what ever you can do to get out of debt.
The stress involved in this consumer/credit culture is ruining people’s lives and health. I speak from experience. Do what ever it takes. Then don’t do it again!!!!!
May God bless you.