I found component too soft on the picture on my LCD versus the HDMI, YMMV. Thus, I used early on a switcher, simple one from monoprice with the IR switch that I programmed to my main remote.
The other issue I had with component was not a function of picture, but just of the acquisition and set up time on my old CRT set up, it took longer for the component than the HDMI to set up, so I stuck with HDMI for this reason also. My current LCD does not have this effect (and has 2 HDMI inputs), so net net, you will want to try both in your set up and see what makes you happy.