Thanks for your input. I used the built in mic on my Canon T3i, which isn't so great for piano recording as we can hear. One more factor is that the piano (A Yamaha U3) has enourmous and deep sound. It is in a rather small room so the sound easily fills it on all ranges. I'm just starting to take home recordings seriously so I need to do some digging and learn how to accomplish great sound in terms of taking acoustics and mic position into account. Separate recording devices seem to be a little expensive, but I'll see if I can add an external microphone to my camera. Or, even to a laptop and then put sound and video together afterwards.
I did not mean to offend with the way I posted the video, what is the etiquette for member recordings here? Do you mean I should post recordings specially for PS and not from Youtube for instance? I want to start off on a good foot with PS