The first response to your post is really right on the money. Of course this will not work so well if you still spin vinyl. My suggestion is the Audio Aero Capitole Mark II Cd player that has all of the things you want and it is available used here on Audiogon for a bit more than your budget. I run my DVD player, my Satellite and my multi-disk Yamaha CD player through it.
the latest version even has an analog passthru so you can run your tuner through it; the older versions are upgradable to the analog passthru.
the latest version even has an analog passthru so you can run your tuner through it; the older versions are upgradable to the analog passthru.