You can venture out for a low or zero rate balance transfer credit card and transfer all your balances from your current card to your new card. Zero rate cards are tough to get but low rate balance transfer cards are also available. Please keep in mind that the rate at which you get a low rate credit card depends on your credit score.
But beware that this low or zero rate is only an introductory one. After a certain period of time, anything between 6 months to 1 and a half year, this rate jumps back to high rate. So, be cautious while transferring your balance from a high APR card to a zero/low APR card.
You can also go through the article "Balance Transfer Credit Cards - Dos, Don'ts and Everything" in my blog, as given in my signature.