I don't think a DVD player is necessary if you have a computer onboard. Also, there is not much distinction between TV's and monitors anymore.
Purchase a
monitor with a built in tuner or
purchase an external tuner. Try to find a
monitor with S-Video, VGA, DVI and maybe even HDMI. Owning such a monitor will give you greater flexibility in what you can watch on it. If you have a Bluray player/burner in your computer you could watch movies in high definition, provided you bought a monitor with enough resolution. There are graphics cards with HDMI out
ports for watching movies in high definition.