Wireless Headphones

I am looking for a high quality (willing to spend up to 150-200) wireless headphone set. 2 criteria: (1) I plan to use them at my gym, so I would like a transmitter that's portable and easy to plug into the treadmill tv screen, (2) I also plan to use them in my apt if my gf is working and I want to watch tv/blow up aliens/goof-off, so I would prefer that they (a) have a closed design so as to reduce noise pollution, and (b) have very low latency.

I read a review of logitech's wireless set on the internet, and they seemed to get universally panned for high latency and low battery life. Any other ideas?

Thank you!