Your top priority should be to pay off that debt, especially with 25% APR. Don't worry about age of accounts. Like others said, it's not that big an effect and your outstanding credit and credit utilization % are probably hurting you a lot more than the younger account age would.
You said you have savings you could dip into, how much? You should probably pay off as much of the debt as you can, whether you do the 0% APR transfer or not (so there's less to pay if you have to pay the transfer charge). If it's an emergency fund, you can always use the credit card at that point if an emergency comes up before you can contribute back to your emergency fund. You'd be in the same position you're in now, just not having paid a bunch of interest for months.
Cel Damage! Tonight at 8:00!