Hey, becky liz - my dh (musician) used to play at the Moonraker all the time!
A place I adore, further down the peninsula, is Filoli - an English style country house and garden.
The Santa Cruz mountains run down the peninsula south of San Francisco, and if you want to get off the beaten path, check out the little towns of Pescadero and San Gregorio (San gregorio is little more than a general store - but what a general store!) There are awesome beaches all along Hwy 1.
Further up the coast is the better-known Half moon bay - lots of boutiques and good food.
My favorite museum in SF is the Legion of Honor. Do not expect world class museums, though.