If the screen resolution is 1920x1080 (or 1080x1920, depending on monitor orientation), then it doesn't really make any visible difference with what you connect it with, as long as it is digital (i.e. not VGA).
This leaves you with HDMI, DVI and DisplayPort. Either one will give you the same result. The only real difference is that HDMI also can handle audio, so if your HDMI also is connected to an audio source, then that would be the best choice (the case for a PS3 or XBOX, or a Blu-Ray drive e.g.).
DVI (if dual-link) and DisplayPort are only better if you have 2560x1400 or higher resolutions. But HDMI is just as good at 1920x1080 (Full HD) as the others.
Then there's also a question of connectivity, HDMI is the most widely supported standard when it comes to TV monitors. Modern graphics cards support all three, but mainly DVI.
DVI and HDMI are both digital and work well together with an adapter or a DVI-HDMI cable. Displayports usually require an active adapter to reach its full potential, which are quite expensive.
Bottom line: Whatever port you have, be it on the computer monitor or TV, you will be fine with one of the three: HDMI, DVI and DisplayPort.
Facebook
Twitter
Instagram