My two cents: Appreciating davening does not happen in a vacuum. Way, way before that is self-understanding and being in touch with true reality. Our busy secular world makes it very difficult to even understand and realize we exist & the nature of that existence. Try closing your eyes and concentrating on your sense of self. Who am I? What am I? Who is this person called ______? What is being alive?
You do not need the answers, you just have to get in touch with the nature of being before you can daven at all & enjoy it.
Once you reach a point where you are happy with your mere existence, & not reliant on distractions, then you can daven. Your davening will be a heightened existence. This will make sense & change your life if you try it.