The best way to record your repertoire would be in a big hall, in surround sound. Of course, this requires a professional audio engineer, and will cost you thousands upon thousands of dollars.
If you want the absolute best result, in terms of sound, that is how you have to do it.
Video with good quality sound is a rare combination, unless you record the audio separately from the video and sync them together afterward. Even if you do take this extra step, it will not sound as good as high-quality, audio-only recordings made in surround sound (unless your budget is truly extravagant).
You could get decent audio, with low-quality video, using something like the Zoom Q3 handheld video camera. It is geared specifically toward musicians who want better audio and don't need the video to be great.
Or, you could get high-quality video, with low-quality audio, using any handheld HD camcorder.
Personally, what I expect to see on a pianist's website is:
-a predictable list of 15 or 20 concertos
-a bunch of cheesy, cliche photos
-self-inflated biography
-no original compositions
-video clips, usually embedded youtube links