First question. Are you planning to upgrade your monitor?
When you say "Old School Mitsubishi TV", I tend to think everything else might have to take a back seat. Unless it accepts HDMI as a video source, you might be spitting in the wind.
Reason being that even if you can feed all your sources (via HDMI) through your receiver, I'm not too sure it could "downconvert" to component, composite or whatever you're using on your dinosaur Mitsu.
And, I use a mitsu CRT myself and have no desire to jettison it..