I use a little wider seam for Piecing Minky, between 3/8 & 1/2, depending on the type of Minky ( some are heavier than others- some are double sided, some single.
I bind like any other quilt. If it’s a heavy— thick quilt ( like flannel, lofty batting plus Minky ) I use a bit wider seam to machine stitch the one binding side. I also ( if the Minky is on the back) sew the binding on the back & fold to front to hand stitch. If you are machine stitching both sides it wouldn’t matter