Personal finance gurus love to argue about which debt you should pay off first. Browse the Internet for just a few minutes, and you'll find volumes of painfully long articles rehashing the same old approaches to paying down debt.
If you haven't found the time to read them all yet, there's no need to worry. Here's a summary of what they basically all say in one sentence.
Either pay off the smallest debt one account at at time, or get rid of the highest-interest debt first. Neither of these methods are new. Rather, they've just been given fancy new names.