Yes, it is overplayed. It would be best to play something else that sounds better. You can try listening to all sonatas and take your pick. But if you're sticking with Moonlight, take A LOT of time to find your own style. There are some things that cannot be said in words, and must be practiced and heard. Listen to different pianists, and watch performances. And don't forget the basics - clean playing, solid tempo and NOT getting nervous on the piano. Good luck.