The correct phrase is not "Google Local", it is "Google Places". You will get better information if you use the correct phrase. This is SEO, and exact words & spellings are critical.
One factor that determines ranking in Google places is something called "distance from centroid" which is a geographical spot in the city that Google calls "center", and preference is given to businesses that are closer to it.
Make certain your Places entry is completely filled-out, with photos, and correct NAP (Name, Address, Phone Number). You need 5+ reviews to get a red marker, but there isn't any value for more than that, until your number of reviews approaches 100, so there's no point in faking any more that that.
I've read that uploading the maximum number of videos allowed gives you a plus, but only doing one video is actually a minus, so for that I would do "all or nothing".
Other factors for ranking in Google Places parallel those for it's normal listings, so if you domain is less than a month old, your chances of getting place well are pretty low if the kw is competitive and particularly if the other businesses have optimized their listings, and have done on & off-page SEO.
You may not know it, but there are pages for Google Places past the first page. If you expand all the Places and then click pages 2, 3, etc... eventually you will find your business's Google Places listing.
I've also noticed that the Google Places listings roughly parallel the regular listings, so as you ascend in the one, the other will naturally follow, I assume.
Here's a recent tip. This one is new. I've learned it myself, haven't read it anywhere and haven't posted it anywhere either. Setting up a Google Offer gave me +1 in rank on both normal listing and in Google Places.
