I chose to pay down my credit cards, then limit use to one. We have two, another in case of emergencies... plus, it helps our credit score (isn't that the dumbest thing!).
I started with the smallest, then went to the next, and so on, finally paying them all off. We've not replaced any, and don't intend to. Along the way, I continued to save, at a very small amount, but I had every intention of preserving the habit. Mind you, I'm a careful spender, as we've never been a high income couple... this might have had something to do with my success.
Things being the way they are might lead one to think having balances on credit cards a good thing... I think the opposite, but I can't think of walking away from a balance like someone else might, if things got rough. My thoughts, of course... I'll add that it feels good not owing him, her, and them.