Yes, you can consolidate but it might not save you much. In addition, you might actually get a bigger interest rate. If your credit is not great, you most likely won't get that personal, unsecured loan.
Once again, the interest rates went up at the beginning of the year so you will see an increase in your payment, finance charge and balance (UGH!). The fastest way to pay off credit card debt is to always pay the minimum + the finance charge each month. You will notice the balance drop. As the balance drops, the minimum payment as well as the finance charge will decrease. However, if you maintain the same payment, you will be adding to the principal payment and pay those nasty cards off even faster. It takes time but like you, I'm also antsy to pay them off faster.
Hi! I had been looking for a way to consolidate about $30,000 of credit card debt for a year or so and just last month I got an offer in the mail from Best Egg (it's a play on "Nest Egg" which, unbelievably, it took me weeks to figure out). I'd tried Lending Tree and SoFi and a few others and none would give me the length/term I wanted or a decent interest rate so I passed. Best Egg gave me three years and 7.99%. The application process took less than half an hour, I was approved within a day, and had the money in my checking account two days after that. I cannot recommend them highly enough. Like, if you could fanboy over a financial lending institution, I totally would. Check them out.