Soundbar Newbie

[RosscoPCole]

We are getting an extension built and are having the TV wall mounted for the first time. I fancy getting a soundbar. I want to spend less than £100 on it. We have a JVC Fire TV. A few questions. When it says Bluetooth, does that mean I can link it to the TV wirelessly? Can I link the soundbar to my Sky remote like I do with the TV?
Sorry for appearing stupid, but want to be sure that everything integrates together.