First: Bluetooth sucks. Even the best Bluetooth isn't an ideal way of doing things.
Right now, it is likely that you are streaming using wi-fi or passing on streaming requests to your TV and the TV is doing the streaming directly. Both of these are better ways (generally) of doing audio.
Not sure what you are actually listening to. What your actual source of audio is, or what format they are being played back in.
I would say, just as important as your speakers, your source matters.
Beyond speakers, which I agree are very important to the setup and the space and budget, is one of the least expensive upgrades you can make: Keep it simple and use high quality audio. A wired connection is, by far, the best way to handle your audio. Use high-quality and high-bitrate codecs from a top shelf source. If you can't get a top shelf source, then use the best connection to whatever source you have and don't settle for wireless limitations if possible. The type of wire rarely matters, but having a wired connection often does.
Tidal, wired from the source, to your amplifier, to speakers. If the TV supports the Tidal app, then download it there, and run it from the TV directly. That will give you the best results currently. But, if I really cared about the audio quality, then at some point I would look at something like a Bluesound NODE as an upgrade, I just wouldn't bet on that upgrade being night and day if the speakers weren't top notch already.