In reply to Bimble:
Not a great expert as I haven't looked into it for years but...
0% cards generally charge a %age of what you 'transfer' - 3% perhaps (from memory of seeing deals)? So if you can find one that will give you £2,000 and that will let you access it as cash/transfer to a bank account (on some it may b e credit card swaps only) it would cost you £60 in transfer fee and then £166 per month to pay it off in 12 months. So, paying £36 a month to the bank now you need to find the £60 fee and an extra £130 per month to be debt free in 12 months. Total cost (based on 3% fee) £2060.
Quick google of £2,000 loan over 12 months suggests you could simply borrow £2,000 at about 7 to 8% interest - you may find cheaper but rates on small and short loans are not that great)... I found one where monthly payment is about £173 per month and total payable over the year is £2,078. Very similar to the 0% deals.
You may be simplest just taking a fixed repayment loan. The reason eth costs are very similar despite very different rates and charge structure is that the credit card charges you 3 or so per cent upfront on entire value. The loan charges a higher rate but the amount of interest declines each month as you are rapidly repaying the loan.
Depending on your level of self discipline the fixed loan may actually be better as there is never any temptation to pay less/stretch the term. However, the credit card does give flexibility as the monthly repayment minimum is generally very low so if you have a bad month you can choose to pay less than the 12th that you need to, to be debt free at end of year. The credit card route has the risk that you don't really pay the debt off, or start lumping things onto the card as it is zero per cent on purchases for X months. I'm afraid that's exactly what the card issuers are hoping for and I've been there in previous years... for me, when cash was tight I was a nightmare for increasing debt whenever I tried to reduce it so in some ways a credit card with probably a limit greater than the £2,000 you intend using may be a risk/temptation. That bit is down to you and how good you are at managing things.
Using either route (if you succeed) would probably be good for credit rating as at end you would be debt free but also have a history of having taken on a debt and paid it off.
Try speaking to your bank and see what deal they could offer on a £2,000 loan over 12 months to repay your overdraft. 20 odd years ago when I left uni my bank did a cheap or zero per cent loan for graduates within a year or two of graduation to get rid of student overdraft. Even if they can't offer anything super cheap they should have a competitive rate and the risk profile is good as they are lending you money to repay money you already owe them... offer to cancel the overdraft at same time as loan is paid to you or keep it at £100 to protect you from a few quid error in any month and you are sorted.
Main thing is that you will save interest by doing this and as loans are far cheaper than overdraft rates you actually only need to find a net of £130 to £140ish per month to be free of debt in 12 months.