Debt Settlement vs. Debt Management

How to pay off credit cards enrolled in a debt management program?
I have been in a debt management program with a local credit counseling service for about 8 months. My parents have offered to co-sign a loan so I can pay off the cards. The loan with the bank is a lower interest rate than the cards and will pay them off faster with a lower payment each month. Should I pay the cards directly or go through the credit counseling service? Which is better for my credit score?
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