Using Mac Mini with HP 2009M 20" LCD

Hi. I'm planning to buy the new Mac Mini and an LCD. Have bumped into the HP 2009M, which has both VGA and DVI inputs. Because I'm budgeting carefully, I'm trying to find an LCD with DVI connectivity, and would want to avoid buying myself a separate video adaptor.

Could someone confirm that the two machines are compatible? It says that the new Mac Mini includes a Mini-DVI to DVI adaptor. I'm quite confused because I've read about two kinds of DVI's. DVI-D and DVI-I. I assume that the HP is a DVI-D, in which this is more common.