There are a number of ways to allow for better "reading" of the information by your (old school) CD player.
The benefits in sound reproduction are easily heard, and sometimes startlingly better, simply from applying an anti-static spray -- I use Sonic Tonic from Machina Dynamica, on the label side of the physical CD media.
With more than a thousand CD's owned, I have upgraded the listening experience without changing my transport which is the venerable slightly modified JVC XLZ-1050TN CD player. I also treated with the same anti-static spray every interconnect and speaker wire of the system to enhance both CD and analog vinyl performance.
Additionally, attaching Codenamed Turquoise color strips to the CD tray helps by absorbing scattered laser light, without having to color the edges or label surface of each individual CD with any color marker.
Once you satisfy yourself that you have made major improvement with so little effort, there will probably be a yen to alter the support under your CDP and DAC components, and on and on, fully exploiting the capabilities of what you already own.
