It depends on the make of video card and monitor as to whether you will hit limitations in resolution and refresh rate with HDMI.
Dual link DVI and display port will both carry any supported resolution and refresh rate.
HDMI and display port also carry audio, helpful if your monitor has speakers.
If you are running at above 1920x1080 resolution at 60 Hz, ensure the cable you buy is rated for what you want use. Many dual link DVI and display port cables cannot actually carry the bandwidth supported by these connections.