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First things first, thanks to both you and your spouse for your service to our country, it is greatly appreciated.
Provide all this info to your local Wells Fargo MLO so that they can get you pre-approved for your relocation to GA and you shouldn't have any trouble at all. Your offer to purchase might appear weak if you make it contingent upon the sale of the TX home, but as long as your Due Diligence date on the Texas sale has passed and your buyer is moving forward to closing, I expect you'd be fine in GA.
Assuming you are using your VA entitlement that gets renewed upon payoff of current home, you'll easily be approved for close to $1800-2000 monthly payment. (also assumes we gross up your income by 10% since it's non-taxed, right?) Not sure how that impacts your GA transaction if you plan on having any $ for down payment.
Hope this helps!