Position in that pack is decided mostly by three things: how relevant Google thinks you are, how close you are to the person searching, and how prominent you are. You cannot move proximity. Relevance and prominence are exactly what this work is.
Relevance is categories, services, the words on your site and whether any of it matches what people actually type. Prominence is reviews, citations, local links and whether the rest of the web corroborates that you exist and do what you claim. Neither is quick, and neither is mysterious.