I don't do anything very scientific but in my
experience figs have been fairly easy to propagate. I have had success by taking 8 to 12 inch cuttings of 1 year old
wood with 3 or 4 leaves and a nice bud on the end . I generally strip a little of the bark away on the rooting end and then coat with rooting hormone and stick into a container of potting soil. Sometimes I've stripped the leaves and sometimes I've left them. They fall off anyway, so stripping them is probably fine. I'll stick three cuttings in a gallon pot to save on materials and space. If more than one roots, they don't seem to mind being moved around later, but my success rate has been around 30% so the math is on my side at three per pot. I have only tried rooting at the end of the season, so September/October, but you might not be too late in Charlotte if you go for it now. I have never tried to root any that were fully dormant. Although I just leave them outside and keep them well watered, the varieties I have experience with, Celeste and Brown Turkey, are susceptible to the cold when young, so if it looks like it might get below 20F you'd probably want to get them somewhere they'd stay warmer.
Good luck! I have quite a few plants from places that have memories for me and I always wish I'd made the effort to get more.