Credit limit

Nick from Chicago left a voice mail for Marketplace Money host Carmen Wong Ulrich about how to get a higher credit limit without going into debt.

I received a large bonus, and I'm going to use it all to pay down credit card debt. I have many cards. They all have about the same outstanding balances and about the same interest rates. At one time, most of the cards were "maxed out," which was bad for my credit score. Should I pay off a couple cards entirely, or should I make larger-than-usual payments to all of them, bringing down the outstanding balances substantially below the credit limits? Thanks. Henry, Chicago, IL