Figs need winter protection in our area in case temps fall and stay there.
The good news is that in most cases even if the tops die back, they can grow back from the roots. That's why you most often see them grown in bush form here.
Here is a page on them from our website that includes a common winterizing method:
Another method includes piling bags of leaves all around and over it.
The best time to move a fig is late winter/early spring. If it's large, you may be better off starting a new plant from a root sucker or cutting.
They are very easy to propagate.