Just stick with the component cables. Contrary to popular belief, component will carry 1080P signals as long as your display supports it. That should tell you something about the quality of signal through a decent component cable setup. My Sharp Aquos, for instance, WILL take a 1080P signal over component (which is how my 360 is hooked up) and I'm very happy with it. As mentioned above, stick with 720P for your games and 1080i for movies...
The moral of the story here should be this: any of the three are going to look fine. Stick with the one that is the most convenient for you setup and avoid switchboxes unless you get a good quality one.








