If you have an analogue TV card in your PC, (cheap - around 50 quid) it offers a coaxial input for your TV, but guess what else? Pinnacle then takes over and you can edit to your hearts content, before burning to DVD or SVCD.
I use the same technique nowadays to record programmes from satellite. ( I am Sky, but not Sky plus)
It is going to be a long, long job. A bit like recording old vinyl to CD.
Conan