withnail:Is this a good idea?
Well it depends entirely whether you can afford the monthly payments involved in paying off the 0% card over 12 months, that's over £80/month. I assume it's a Virgin Credit Card because that's the only 16 month 0% BT card on the market. So even if you pay nothing extra off you have a minimum monthly payment of £25. That may be more than the minimum monthly payment you are subject to at the moment. Of course you would be paying off the balance but how did the existing balance build up?
So I can't totally answer your question due to a lack of information.
This is a debt test question, isn't it?
It might turn out to be academic anyway since thanks or no thanks to enhanced credit reporting Virgin are wised up to reject applications made just for the 0% BT.