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Thank you, Miriam!  I've had my boss so mad at me for loosing page 1 ranking (we have Local ranking) and I couldn't explain what happened, even when I've worked so hard on the SEO of the site. (I'm no expert but there's a only a small budget at our company, and I'm the cheapest option).  I've explained this to him and finally everyone's happy!

I think there's something in Google Webmaster tools where you can tell it that you are switching domains - you verify both domains.  But also do the 301 redirects

Good luck!

What if your business actually has "Austin" in the name of the business?  My business does.  Would that hurt me on Local?