There's a bunch of companies that will come and haul stuff for you in the Bay Area. Do you have these too? They're not exactly moving companies, they'll haul trash, or brush, or help you move out in the middle of the night.
I saw one of the companies' trucks today. Emblazoned on the side was, "We Haul for You! We're Open 25/7 and Weekends - Call Us Anytime!"