Hi gvans,
Thanks for those compliments, I appreciate it!
Regarding your question, I go through a sequence when I'm learning a new piece. First, I try to discover the character of the piece. Although a title like elegy can identify it immediately, we also have to deal with vague descriptors such as prelude, lyric piece, moment musical, intermezzo, morceau, song without words, poeme and others. So I try to determine what the composer might have had in mind. Then I embed my interpretation in that notion or program. This often has everything to do with the emotional content of the music which has to be projected for the listener.
My next step is to sit with the score away from the piano. I pay attention to the overall structure, tempo, key signature, changes in meter, dynamics, accents, ledger lines that I can't read at sight, anything unusual such as cross-overs with the arms, and things happening in the accompaniment that should heard by the listener such as important voice leadings in the polyphony or a scalar passage, for example.
Once I start practicing, I do it first in a mechanical way articulating the keys and playing at forte. If the piece is difficult, I might do some hands-alone practice, but not for long. I put the hands together as soon as possible. This is also the time when I work out effective fingerings, although I think of them as being tentative in case I later find some better choices.
As for pedaling, I practice without it at first to make sure that I'm holding ties, using the best options for fingering, and playing as much legato with the fingers as possible.
Once all the mechanics are in place and the piece is then at least playable, I shift out of mechanical practice and into artistic playing. Part of that, of course, is adding the pedal. If pedal markings in the score make audible sense, I'll use them, but otherwise I develop my own. In the late romantic repertoire I play (and impressionism as well), I like a lush pedal with quarter- and half-pedal releases to clear overtones as needed for clarity.
At this stage I will often turn on the metronome to my chosen tempo and play along with it a few times. If I notice hesitations or a ragged passage here or there such that I'm unable to keep up with the metronome, I isolate those places and give them what I call intensive therapy. I find that helps build technique too, where I'm overcoming a difficulties. So this is a smoothing out phase.
Finally, as I listen to myself play (very keenly and critically), I want to hear that I'm voicing for clarity, bringing out a cantilena, effecting clean pedaling, imparting a certain sweep to the piece, and ensuring that the components are building and fitting into the long line through integration and synthesis in the playing.
When I record, I do it in full takes only. Although I have software to do editing, I don't believe in it. It's part of being Old School and being willing to take risks within the interpretation.
That's probably more than your wanted to know ha-ha! But there you have it.
David