You have three real options: sell the home you are leaving, keep it as a rental and buy here, or keep it and rent here for now. Owning a home somewhere else does not automatically stop you from buying near Fairchild with a VA loan. It depends on your numbers and on how much of your VA benefit is still available.
The cleanest for your budget. What you clear from the sale becomes your down payment or your cushion here. The sell-then-buy calculator on this site shows the rough number, and I can time the two closings around your report date.
Many military families do this. Two things decide whether it works:
If the numbers are tight, or you are not sure how long you will be at Fairchild, renting here for a year while the other home is leased is a reasonable choice. I will tell you honestly if that is where you land.
None of this costs anything to explore, and you are not committing to anything by asking.
Tell me what you are looking for and I will line up homes, run the payment on each one and answer the questions a listing can’t.