Can you recommend some classical CD's for me?

Good advice from Hifiman5 and Isochronism about focusing on one composer or performer for awhile but I think it's important to do some survey work first. If I had started with Mozart or Haydn I wouldn't be listening to any classical music today.

What moves you is going to be very personal and specific. The starting point for me was Bach but that's neither a criticism of anyone else's taste nor an endorsement of my own.

If you have a way to stream your Internet connection with any reasonable fidelity to your system, Pandora is a great way to explore and learn what you would enjoy. Set up 'stations' for the best known classical composers and give a thumbs up to the pieces you like as you hear them so that you hear more music that is similar.

One of the reasons I chose Mozart, Haydn, Beethoven as a place to start is their symphonies follow the classical period pattern of exposition, development, recapitulation that provides a sense of "order" and comfort. The psychological effect can be quite powerful. I know on stressful days I'll come home and reach for classical compositions for the reassurance their structure provides.

Sfar,
I respect your preference for Bach. For me, Bach is "math put to music". Classical period works with their structure but freedom from the "mathematical precision" of Baroque pieces, especially Bach, makes them more harmonious and enjoyable. Rest assured, there are many who prefer the precision of Baroque works, and I respect their preference. It's the diversity of period and style that makes symphonic music so compelling. I wish you nothing but joy in listening to Bach and other Baroque works if they bring you aural pleasure and satisfaction.

This is a must try!! "Albinoni: Adagio * Pachelbel: Canon". Deutsche Grammophon. Consisting of Bach Handel Corelli Vivaldi Purcell It is nice Baroque introduction. Beautiful

As with everything in this life, find what makes you happy, and hopefully make others happy along the way. To each his own! To eat calzone?? Also, preserve your hearing:)

If you like classical guitar, you'll probably like John Williams' "The Seville Concert." I sure do.
I'm in a similar boat. I don't have much classical and don't really know what I would like. I also play classical and rock guitar and love cello.
I downloaded Yo Yo Ma's rendition of Bach's Unaccompanied Cello Suites and the parts I have (from the first suite) are excellent.
I like the harpischord in Bach's Brandenburg Conerto No. 5, but the Brandenburg concertos do nothing for me.
My favorite classical pieces are Beethoven's symphonies, but you probably won't like these as they are large scale.