DVDShrink can take the movie and make it the correct size to put on a dvdr disk. It puts it on your hard drive so you can burn it with another program. So you’ll need another program to burn it. I use Nero 5.5 and have had good luck with it.
DVDDecrypter rips the movie to the hard drive, and will do so on scratched dvd’s better than Shrink, so its a good program to have around, but it won’t reduce the size of the files. If you want to burn it to a disk, you’ll have to use a program to compress the files. Occasionally I run into a movie that Shrink can’t handle, so on those I use DVDDecrypter, DVDShrink to get the correct size, then Nero to burn.
If the files are small enough to fit on a dvd anyway, (about 4.3 gb) you can use the iso mode on DVDDecrypter to put it on the hard drive and burn it to the disk. Most movies will be much larger than that though.
For a burner, look for the Pioneer A06 or the OEM version the 106D. If that is a bit out of your price range, the best choice would probably be the NEC 1300a. You’ll probably need better firmware with the NEC though, so look at http://www.herrie.org/ for upgrades to the NEC firmware.
The Pioneer works better with cheaper media and may save you money in the long run.
Use good quality disks with the NEC. I use Verbatim Datalife disks out of Singapore. Most Japanese disks will be high quality also. Another possibility would be Ritek G04 disks bought online.
If you have more questions, post again. Lots of people around here willing to help.