I agree with @corelli that its hard to know if your in the right rabbit hole for your issues, truth is you won't know until you dive in and dig around a bit.
It pains me to say I also agree with @audiotroy, :( whom I often see as self promoting, but honestly they are not alone, it just feels icky when they do it for profit. That said they have a lot of knowledge and it costs nothing to speak to them.
Your Denon player is mid-fi relative to your speakers and amp. I have gone down the DAC rabbit hole a bit starting with a few $ 2K units upgrading them to $ 3K, replacing them with a $ 5K and now am in the way beyond with my DAC. To my ears I had very much the issues you have, and improving my DAC I could easily pay step by step to diminish the brightness and improve clarity and musicality.
The DAC in your Denon is probably not bad but not equivalent to most stand alone DAC's in the $1-2 K range which is the very least your system deserves. If you want real hi-fi $2K is about the starting point for a DAC unless you go used.
The old saying Garbage in is Garbage out, your Denon may not be your only problem but it is part of your problem. Start with the source, deal with the room later.