I would start with Dave Ramsey's Total Money Makeover. (a book) In this economy you may be on one paycheck for a while, and you need to learn how to budget. Bankruptcy can clear your credit card debts, but if you don't learn to live on one income, you're going to find yourself back in the same spot later, and not be able to go thru bankruptcy twice -- at least not without an adequate interval in between.
Read the book, see what you can live without, what are necessities, and he has a neat way in there for handling collectors and credit card debts.
Also, the reason they tell you that you need to pay the whole amount is a legal reason. There's a clause in every bank note that says when the account reaches a certain level of delinquency, that the bank can "accelerate the loan" and declare it due in full. They have to do that to take any kind of legal collective action.
I've done a whole host of things since being unemployed. I've worked seasonally at a ski resort, I took a tax class and have worked 3 winters doing tax preparation for Jackson Hewitt, I have worked in a greenhouse -- lots of jobs I wouldn't have taken so much while my career was on the go, but I enjoyed them. I also have a small hobby type of business, and it brings in about $400.00 year. I'm now taking courses toward a real estate license because I know I have to get back to FT employment, and in sales, they'll take you because they don't have to pay you until you produce. :-)
You have an MBA, think it through, and START a business on a shoestring. Use the internet. Sell stuff in a lawn sale or on E-bay. Downsize your life. Do you need cable tv ? Do you need more than one cell phone ? Or any at all ? It's a luxory, remember. You can buy foods through Angel Food Ministries for a while, which is very inexpensive. Use the money and the time you DO have as wisely as you can, just as if you were running a company. The biggest way any company can maximize its profit is to minimize the expenses, and that's what you have to do to succeed as a family, too. If you need to, sell the second car -- you don't have two jobs, anyway -- and the value there may pay off a credit card completely -- but if you put any cash on the cards, call first and bargain the balances down. Don't pay the whole amount, cuz most of what is due is late fees, and penalty interest rates -- you most likely won't have to pay more than 1/2 the balance due.