Should you use a program such as CCCS to pay off credit cards that have not been paid for a long time?

Only if you have no other recourse, or can pay your creditors off in a few months. Why? First of all, even some so-called 'nonprofit' agencies of this type charge you hidden fees for the service. Second, until you make your final payment your credit won't go up or reflect your efforts to make things right. It's better to just save up the money you'd be paying to one of these companies until you can make a settlement with your creditors, or arrange a payment schedule with the creditors themselves if possible. And remember, make sure that when you do settle it is reflected as 'paid off' and not 'settled' on your credit report!