Answer:
Clarification of the question would be helpful but for now I will assume that you are in the household goods moving business focusing primarily on "COD" moves (as opposed to office/industrial moving, military household goods moving, or national accounts).
Direct mail from the MLS can work well if it is manged properly and if the piece you send stands out from the crowd. Lots of movers do this successfully.
Approaching people that are in a position to recommend you (apartment managers, self storage managers, Realtors, etc.) can be a very low cost strategy and result in high closing ratios.
Ultimately, if marketing is not how you want to spend your day you can hire someone that specializes in marketing for moving companies. I presently own a moving company and have been in the industry for nearly 30 years. Marketing is my specialty; if you're serious about growing, additional insight is available by sending your question to personalbusinessacct at gmail dot com