Well, the loss of the name may or may not be a problem. If you DH is working there and continues to work there, then the customers will get to know him, his name will get out there. He just needs to make sure he is doing his best work and is on his best behaviour with the customer. Upon buying the business it would be best to send out a letter to all customers stating the it is an employee who now owns the business and as such knows them etc. At least that way the customers get some sort of continuity.

I think in this economic climate it is best not to limit a customer base. One of the classic car customers could also be a new car one. If they cannot get both cars done at the one place, then they may not go at all. Better off to take on all customers, give it a trial run and see how it goes. Has your DH got a chance to look at the books? That should be able to tell you how profitable each side of the business is.

Good luck!