It doesn't really matter which one you use.
If you were using the screen for sound (which I don't think you are), then you wouldn't be able to use DVI.
You can look at the specific differences here:
http://www.cnet.com/news/hdmi-vs-displayport-vs-dvi-vs-vga-which-connection-to-choose/
One notable thing is that if you get a 4k monitor, HDMI only supports up to 30 FPS on it.
Otherwise, it just comes down to which one you prefer, which is cheapest / easiest to get?