hmm does your tv have a 3.5mm headphone jack?
If it does then avoid the Turtle Beach's. The X1 sounds like a £15 set of headphones to me and definitely aren't worth it. I suggest picking up a decent set of headphones (There are some very nice goldring's to be had for £50, but I can't link) and wearing the mic around your neck, that's what I do.
As a rule of thumb for me, "gaming" headphones aren't worth it until you're talking about ones with actual features beyond a boom mic and headphones, i.e. surround sound and chat boost, but even then dolby headphone mixamp's aren't too hard to find and gaming headsets never offer the sound quality of a similairly priced set of headphones.
Plus nobody has realised normal headphones are better sound quality than the Turtle Beach's, and so still complain about TB's, but stop when I say I'm just using normal headphone, which to them are automatically inferior. Ahh its fun toying with ignorance
Also with the headphone route, the upgrade path is cheaper as well, as to get a surround setup you just need to buy a mixamp, rather than a whole new setup, and you can buy the setup in parts, rather than buying a £100 headset which you may find you don't need or that you want to replace with a better one very soon.