I chose to do Mozart's "A Little Night Music" and this was my second pick.  I just went to youtube.com and started listening to all the music choices.  Although, I have heard this probably 100 times like you said I didn't know it was Vivaldi.  Your TCP relates to mine in that Mozart is the same way.  "A Little Night Music" is played everywhere and people recognize the piece but not the composer.  Classical music like this is really comforting.  Spring is of course the most popular and I didn't know it included the other movements.  Who is your favorite baroque or classical composer?