You can get the tape to the computer with a tv card.
That's what I do with my old HandyCam.
The cam won't connect directly to the tv card,
so I run it through a regular vcr.
I capture with mencoder. (mplayer)
mencoder -oac lavc -lavcopts acodec=mp3:abitrate=128 -ovc lavc -lavcopts vbitrate=1800:vhq tv://3 -tv driver=v4l:norm=ntsc:chanlist=us-cable:width=320:height=240 -o video.avi
Note that this is with 2.4.x kernel. 2.6.x may need "driver=v4l2".
As for dvd, I don't do it as I'm sans dvd burner,
but some one will help.