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.