When loading minky on a longarm, if you have the selvedges on the sides, the stretch isn't a problem. In other words, pin the non selvedge edges to the leaders.
If you're quilting on your sit down machine, use 505 spray baste. And a walking foot helps a ton!
All minky is not equal. Shannon is a better quality. Some of the JoAnn "minky" is super luxurious, but super stretchy. Try to avoid the super stretchy stuff for quilted items.
You can either "birth" a minky quilt or put a binding on it. If you want to use minky for your binding, you would cut it 2 1/2" wide but don't fold it in half before you sew it on. Just sew one layer on first. When you turn it to the back (or front) to finish, then turn the edge under.
With Warm and Natural, you have to quilt closer than if you used an 80/20 Hobbs or Winline batting. I've known of the Warm and Natural falling apart in minky quilts that don't have much quilting -- like the minky strip quilts. Or the Hobbs Polydown or Tuscany Poly are other good battings for minky quilts.