Hi Guys,
Thanks for all the replies! You guys are great.
I wouldn't want to use a new remote control to allow me to use the TV and/or DVD player with the receiver off. I don't want any new remotes at all.

I have finally figured out how to control everything with just my Comcast remote (which are good remote controls) so I definetely wouldn't want a new remote.
With the receiver I buy, I don't intend to ever use the remote that comes with it. All I want to do is push on the ON/OFF to get the surround sound or to turn it off when I'm watching the news or don't want the surround sound, for example. Of course when it's ON, I would also need to switch between CD, DVD, and Tuner depending on which device I'm using which is fine. But that's all the interaction I want with the receiver.
Michael, yes that makes sense. I would only expect that the last selected input device be able to work with the receiver power off, that is fine. And if it allows two devices, even better. Thanks for that clarification.
So my question is: When shopping for a A/V Receiver, what "feature" do I need to look for on the box to verify that that receiver will allow what Michael described? What wording should I look for? Is it "HDMI repeater architecture", or is it "HDMI passthrough", etc.?
The reason is, I don't plan on spending more then about $400 for my receiver so I want to be sure the one I pick has this ability. If I were paying more, I probably wouldn't be as concerned because I'm assuming that more expensive models will always this feature.
Thanks!