I know there are companies that do this, perhaps some local photographic shops offer the service.
We did the VHS tape to DVD part using our new DVD video recorder that sits under the TV. Only the copying from DVD to DVD gets done on the computer.
If you know anyone local that has made the switch from VHS to DVD television program recording, it might be worth asking if they could do it. If not, then feel free to send the tapes to me. I'll do them for the small price of a cup of tea and a slice of cake next time we see you

Postage wouldn't be too great between Jersey and England.