In my opinion you'd have to answer several questions suitably before deciding to take out a loan.
For:
1. What is the interest rate on all your cards once the 0% ends? If it's around the 18-19% mark you might be much better with a loan.
2. You're continually getting charged interest with your credit cards. If you're only making the minimum payment, your balance may actually be increasing!!! With a loan, your interest is worked out up front and is (normally) fixed rate, and no further interest is applied to the balance once you take out the loan.
Against:
1. As Basa48 said, you might have trouble getting a loan. At that amount it's likely the only loan you'd get offered is a secured loan. This means that the loan would be secured against your mortgage or home (if you own one). Failure to pay the loan terms would mean that the lender effectively has the rights to reposess your house, so if you're not dilligent you could end up without a roof over your head.
2. Again, as Basa48 said, the debts may be unenforceable. However as you've pointed out the debts may be old but the CCs are not, so it's unlikely this would be the case. If this option was open to you, bear in mind you'd have to be prepared to be involved in a lengthy battle with the CCC's and you could end up with defaults on your record. I'm not saying this to try and dissuade you I just want you to know that you'd need to be committed to this course of action.