Sax seeks advice on piano

[zerozero]

Hi All,
  I am a sax player and can already read write and improvise. Although I do play all the jazz standards I learnt jazz to be able to improvise and deepen my knowledge of harmony. I also write scores in Cubase - though I would describe me score writing skills as intermediate. On sax I can play or improvise a blues or rythmn changes in any key. I am already ear trained to a reasonable degree.
My piano career is now a week or so old! I bought a Gem PR 700 which is just great for me until I can get a real one - very good tones and reasonably sensitive blended layering on given notes.
I am hoping to get some tips on how best to get proficient. I want to be able to read (and am slow in bass clef) for piano, and to be able to use the piano for composition purposes. My dream would be able to play the moonlight sonata, Bach's ave maria and some simple Chopin - I guess there are a few years to go ghere.
 As I do not want to write jazz I have decided to concentrate on 1 4 5 changes rather that 2 5 1 (important  though they are)- the are less common in rock and classical. My biggest problem is getting the fingers to follow the brain - especially two hand coordination - I suppose their is no substitute for muscle memory
these are my ideas as a novice about how I should proceed - but I would love any advice:

Learn simple folk and spirituals using block chords and melody
Run scales and use Hanon
Learn 12 bar shuffle time and improvise over top of the bass
Learn walking bass lines
I have also tried to start on a more complex piece, but it seems this is too early for my fingers

Transpose simple tunes to different keys around the cycle

[preludium]

There is a vast amount of information in the Student's Corner board (that's where this thread would be in a better place, too). Look for the postings of the legendary "bernhard". You'll find a lot of useful information on how to get started in there.

There is no need to focus on any chord progressions that early. Just get some technical capabilities first. Classical music - in that broader meaning - is more versatile than Jazz, but I love Jazz for its harmonic colourfulness, and you will find many of these things in classic as well. 4 - 5 - 1 instead of 2 - 5 - 1 progressions may be preferred in the classical style in the special meaning, i.e. between 1750 and 1820 or so, but especially J.S.Bach's pieces go through the circle of fifths "by default". The 2nd step often doesn't appear as minor or diminished chord, but as a dominant to the 5th step. Especially in a minor key the 2nd step as major chord where the bass line stays on the root of the tonic (like Cm - D7/C) creates something that probably most people would identify as the "Bach sound", even though there is a lot more than that.

You may like Scriabin as well. In his pieces you will find altered dominants, that sound very jazzy at times, but again, there is more. Some of his preludes and mazurkas are quite easy to play and surely suitable for the advanced beginner.