It depends on which county. Anywhere close to Atlanta you will pay dearly.
The smaller counties and towns will be less.
Your insurance also depends on the location. Larger cities higher premiums, rural areas a lot less.
What area are you looking to move to?
We moved from GA 4 years ago, we were west of Atlanta in Carroll County, when we moved temporarily to Jefferson county our car insurance dropped by half. We moved permanently to South Carolina and have lower property taxes and our insurance is lower.