Lebowski, it makes my heart skip a beat when someone says "$ not an issue". I have exactly what you need. You may decide, after the fact, that money IS an issue, but I'll give you the best here and let you decide if it's worth it.
First off, a TV is a terrible audio component. They're not built for it, so we need to get it out of the equation. The way to do that is with a pre/pro, or preamp processor. Here's the one you want, the
Emotiva UMC-1.
The Emotiva takes in digital and analog signals, notably HDMI, and converts them into the kind of sound that amplifiers need to see. I can get technical here, but i don't need to. Suffice it to say, this box turns everything you have into everything you need, for well under $1000. That's a bargain. It helps improve your video too, which is even better.
Next, you need a headphone system to go with the Emotiva. There is one that stands head and shoulders above. T
he Smyth Research SVS system comes with a decent Stax amp and the excellent SR-202 headphones, and running that two-box system directly from the Emotiva should give you a better headphone experience for your uses than was possible 5 years ago, regardless of investment.
PS3/DVD/Cable box -> Emotiva -> SVS (and Television) -> Headphone amp -> Stax headphones