I guess if I were in your shoes I would try to separate the surround processor and amp as a first step if you want to increase sound quality. I would put $1K+ into a surround processor (Best Buy 18 month 0% financing) and get a $1K 5 or 7 channel separate amp. That should give you a significant bump in sound quality.
You can see my HT under my UserID. I long ago invested more in my surround system than the TCV. It has so much been worth it. We currently have a 77” Sony OLED… the surround system and amp are much more costly and have really added to our enjoyment for decades.
I find Best Buy’s 18 month 0% financing to be really useful when in your price range.