Annually, you pay a property tax on an airplane in Georgia. The bill is based on the municipality where the airplane is based. The tax is the assessed value x 40% x the millage rate.
For a $100K airplane, that ends up being $100K x 40% x .03 = $1200/yr or thereabouts.
The millage rate varies slightly between municipalities and within a municipality it will vary from year to year.
The key point is to make sure your airplane is assessed correctly. That's the one real variable in the equation. You generally get a survey in Aprilish every year to report the aircraft's equipment level, hours, etc. And value. Then the municipality comes up with its appraisal and you get to accept or challenge the value they set.
Some owners rent tiedown space in Tennessee on an annual basis and reposition their aircraft there for a week or two spanning the year end into the new year. That allows them to legally report that the aircraft was based in Tennessee on the date of record (January 1) and they pay a tie-down fee for the period (might be $25/month x 12 month = $300/yr) as opposed to paying the tax.
Sales and use tax is generally waived if you own the airplane (car, boat, etc) when you move to the state.
https://dor.georgia.gov/taxes/business-taxes/sales-use-tax/what-subject-sales-and-use-tax#:~:text=In general, Georgia imposes tax,personal property and certain services.&text=Service providers are, in most,§ 48-8-63.