Hi NYorker - welcome to the forums.
It's hard to give advice when it's unclear what the question is. It sounds as if the income questions have been worked through - $2,000 free and clear with only 1 income if living in GA. But think about quality of life / amenities. Will you be able to have the same or similar amenities in GA as you can get in your area of NY state? Schools, libraries, shopping, parks, outdoor living, etc.
Recommendation: use the spreadsheet attached to the 'How to write a case study' topic...
http://forum.mrmoneymustache.com/ask-a-mustachian/how-to-write-a-'case-study'-topic/as a guide to tracking savings, expenses, savings, etc - even if you keep the 'results' of the spreadsheet to yourself. It's a good tool for those considering the mustachian way of life. Of course, if you share the results here, expect some well intentioned face punches on things like outrageous cell phone bills, etc. (and advice on how to improve those, of course)
As for not being very experienced with stocks & investing, start by reading
JLCollins' Stock Series. Invest in low-cost/low-fee exchange traded funds (ETF's). Put as much savings in Tax Advantaged accounts as possible (401K, Roth-IRA/T-IRA, etc) to get the double benefit of saving in a tax advantaged account AND reducing overall Adjusted Gross Income (the amount you're taxed on every April 15th) by the amount saved.
But above all... welcome. And just keep saving!