Meyer grows very well in GA. I know it since I have it in my yard. One mistake I made was tilling, which created uneven lawn when the loose soil settled. If I were you, I will rent a sod cutter to remove the old sod, then fill the low spots with sand/soil, then it is ready to sod (no tilling). It's safer to wait till Spring to round-up the old grass and you can also tell the quality of the new sod when it's green. But zoysia is so tough in GA I just laid it over my live (tilled) bermuda grass 3 years ago and it keeps expanding and chokes out the bermuda and weeds occasionally getting in the patch.