I think the others have covered the basics. Visit and check out Henry County. Just save plenty of time to see other areas. Atlanta is big and parts of town are very different. Consider where you would like to live - hospitals are just about everywhere. Unless you have specific work interests - trama center, teaching hospital, etc. a hospital should be an easy commute from just about anywhere.

One note - Is your "one day" trip to Savannah and Tybee supposed to be there/back in one day? If you're planning to drive, you should know that GA is a bit larger than NH. It's about a 4 hour drive from ATL to SAV.