I am not an expert, but it is my understanding that, while you can discharge credit card debt in a bankruptcy, you cannot as easily declare student loans in a bankruptcy. It seems foolish to me to take on a student loan you can't get rid of in exchange for eliminating credit card debt that you could eliminate by declaring bankruptcy. Likewise, it is foolish to take out a home equity loan to pay off a credit card because you're allowing someone to place a lien on your house and possibly foreclose on it -- you could lose your house.
OP: Call the credit card companies and explain your predicament to see if you can get them to forgive some of the debt. If you tell them you're considering bankruptcy in your desperation (and do sound apologetic, sincere and pleading), they might elect to let you off the hook for some rather than chance getting nothing.
You indicated that you really can't save money. If you don't want to declare bankruptcy, you will have to find some way to save money. If you can work out a budget that allows you to make minimum payments on your cards, then you should throw as much money as possible each month to the card that charges the highest until that is gone, then the second highest, etc., until all are gone. You can also consider getting a "no interest for a year" credit card and transferring the debt from an existing card to the new one and paying it off that way.
If you truly cannot save any money or get a second job (which is understandable in this economy), you might have to consider bankruptcy. Yes, it looks bad on your credit report for a while, but in the long run, it will disappear and you can re-build your credit.
-Dorothy (LadyZolt)