Like many others, binding is my least favorite part of making a quilt, but it must be done (smile).
I do both machine and hand stitching on the bindings. Depends on what it is and how it is going to be used. Children's quilts, pot holders, table covers or something that will be laundered frequently, I often sew by machine or some art quilts, postcards and such. Bed quilts, other art quilts and so on I like to sew by hand. I think it looks better, tidier, and more authentic.
There is no one saying this or that is best. Do what you like and works for you. It is all good. Have fun!