Great find! And welcome to the forum. There's lots of info here, pretty much everything you need to know. Check out the getting started section near top of main page. The baggie method is quite popular for starting cuttings, or if you have a lot just putting them in a pot with good soil outside in the shade, and ensure they don't dry out seems to work as well.
If the root balls were big, you will probably be fine for winter, but I would protect them the first winter anyway, you never know we might get another bad one and the trees are now in shock from being dug up.
With the roots being cut, I would thin out a lot of those green stems, I think the roots need time to heal to provide for them. As Shailesh said, keep them shaded until they recover if possible, then slowly expose to full sun.
I'm still new at figs, too.