I've racked up $26,818.19 in credit debt over the past five years, spread over three cards

I just became a member of a local credit union to talk about possible debt consolidation. They've offered me a $27,000 loan with an APR of 10.75% over 61 months, wherein they pay off the credit cards immediately, while I pay off the loan with $270 deducted bi-weekly from my paycheck ($540 monthly vs. $641 from the credit cards).

I don't trust myself with credit cards, so this seems appealing, as I'd like to automate this process, have a single source of debt, and close or shut down the credit cards so I can no longer use them. There's no penalty for paying early, so I would put additional money towards paying the loan off.

I'm not great with finances (clearly), so I'm worried that this is a bad idea or that I'm missing some obvious consideration. If anyone has any advice or insight, I'd appreciate any help you can offer.