In order to know all your options regarding configuration/compatibility, we need all makes models. The whole shebang.

Definitely go RF if possible.

That said, regarding #2 might be a non-starter, or a lot of trial and error. Let's start with model numbers to help in this regard. The only site I have seen with semi-decent reviews and connection recommendations is at the wirecutter. You will likely need a toslink to RCA converter to get this ship moving along. Look/read here:

http://thewirecutter.com/reviews/best-wireless-home-theater-headphones/