I'm guessing you have a reciever? If so, all of your audio and video should output into that.
If your equipment has it, use either digital coax or fiber to connect your CD/DVD/etc to the reciever. Cable as well. I know the brighthouse cable boxes do Digital Coax.
It's up to you if you want the TV doing sound. I hate how pretty much any TV speaker sounds, so I just use it as a monitor, and run all the sound through my reciever. Even shitty television shows should at least sound good.
Run a single output from your tv out to the tv in on your new tv. Depends again on the outputs/inputs.
In a nutshell, thats the jist of it.