There are lots of things that go into making your google places show up. They do not rotate through. First, fill out a google places profile completely with lots of information, pictures, a good description, etc.
Then start getting free directory links from yellowpages.com superpages.com yelp.com kudzu etc. these are call citations so search for a citation list (here or google) and you will find a bunch. You will get lots of sales calls from these places, but just turn them down.
Depending on your niche this is a good start. Make sure your on page seo is good, decent keywords/content/etc. and then some decent backlinks (not really required depending on the niche). Give yourself 2-3 months depending on things with some reviews on those citations, most notably google, and you should do well