Wilson tiny tots

Your TV most likely has optical out. You need a dac with optical in and a decent integrated amp or a receiver and in both cases look for the ones featuring variable outputs (rca) to connect a subwoofer you will need to fill in that missing lower bass.

Rogue Chronus Magnum II or III should be alright. 

Buy a Marantz na7004 and connect the tv to it by optical input/output and then the RCA plugs from the marantz to your amp. They sell for around $300 on ebay used. People are selling them because streaming is no longer supported by people at marantz but the internal DAC sounds great and you can play music through the USB in front also if you want too. The problem with USB is that it takes 4 minutes to load which isn't the problem with the optical output.

If you want to take the optical out of your tv into a dac I would suggest spending 150 bucks on an ifi ipurifier. Optical from tv is pretty crappy and this will help clean it up for pretty cheap. Makes a definite audible difference in my setup. Your tiny tits will thank you. 

For TV audio isn't the first order of business a DAC that accepts eARC, not optical?

The NAD 3020D and related amps may be ideal.  Takes optical input, very small.