One thing I would really like to know is this: everyone has a daily practice session, and I would really like to know how you lay it out, and more importantly HOW exactly you go about practicing your pieces.

I'll walk you through mine: I start with about 20-30 mins of either Czerny or Hanon warm-up exercises and then some scales and arpeggios. Then I have about fifteen minutes' sightreading, somerthing I pick at random. I then put out my pieces (usually 3 or 4 of them) and choose the one that needs the most work. I try not to spend more than 15-20 mins on each one, though I usually don't get through them all. I basically practice them by playing them:
slowly and hands seperately,
legato and stacatto,
and/or with the metronome, increasing its speed each time from about 60 - full speed.

I would love to know how other people (especially accomplished musicians) practice on a daily basis. I'm sure this question has been asked before, but I'm dying for some tips here! Happy practicing!

I first play all twenty-four major and minor scales, then all twenty-four root position major and minor arpeggios (this is part of my requirement for piano.) Then I go into pieces that I'm just beginning to learn. And this is how I learn a new piece: I break it into sections, and then I learn only the first section for a bit. I start by practicing slow (hands separately if I need to), and then, after I get the first section to my satisfaction, I move on.

After that, I play through pieces that I already have learned a few times to keep them fresh, and then, if I have time, I work on my "forbidden" pieces (pieces that I really want to learn which my teacher thinks is too long, too difficult, reserved for grad students only, and since I'm just a tiny little sophomore I'm not allowed to even touch them, etc.)