Bluetooth Satellite Speakers for TV

My elderly father is looking for some speakers for his TV which can be set up to be behind his chair in the living room so he does not need to turn the TV up to 45 to hear the TV.

Is there any sets that someone can recommend the use 3.5 or RCA input from the TV to a Bluetooth sending unit which can then connect to remote Satellite Speakers? There is power to the place where he sits.

In true Ozbargain fashion I am looking to spend under $100.00 if possible.