For the sake of simplicity, a soundbar is probably your best bet. Vizio's are OK for that product category. If it were me, I would see what kind of audio outputs your TV has. If your TV has a digital optical output, consider getting
this DAC,
this amp, and
these speakers. That would be a fun little system and better than most soundbars.
Also, right now Kali is offering Bluetooth controllers to buyers of their LP speakers. You can get a pair of LP-6 speakers for $300 and then get the
Bluetooth controller for free. You would need to add a Bluetooth adapter
like this. You will also need some balanced 1/4" or XLR cables. All in, that would probably be slightly closer to $400 than your $300 budget, but that would give you a phenomenal sound for the money. And if you went with the LP-8s instead of the 6s, that would be an insane value. Those speakers have crazy good sound quality for the price.