If you're doing a local move in San Francisco, Marin, or around there I can highly recommend the moving company Country Moves in Novato, CA. They don't have a website I can find, their number is 707-522-1377.
Moving house is always stressful, but Country Moves really helped make it easy. Their crew was incredibly careful and thoughtful. They totally know their craft; the truck was packed neatly, pictures and such were wrapped beautifully in blankets, and everything came out organized. It helps a lot they sent four folks, the owner of the business and three strong guys. Steve, the owner, is easy going and clearly in control, it was great having him managing things.
Their pricing for the move was quite reasonable. We appreciated the extra service: they dropped off some boxes a few days before and then only charged us for what we used. They also took care of getting the street parking permit when we had didn't have time to do it.
They do a lot of deliveries of designer furniture so they know how to handle delicate and expensive things. They're happy to do house moves in San Francisco, too, and I can recommend them without reservations.