There are many examples of cheap self-build robotic systems (basically robotic CD changers). E.g.:

https://hackaday.com/tag/cd-changer/

http://hackalizer.com/jack-the-ripper-is-an-automated-diy-di...

http://hackedgadgets.com/2006/06/07/cd-changing-lego-robot/

Yes, you definitely want sth like that. And further extend it.