I have used fleece and Minkee for backing with batting & as batting/backing for charity quilts. I got some fleece at a fabric outlet for $1.99 a yard so couldn't pass it up. This is what I learned but others may have totally different ideas and methods than I did.
1st. Decide if you are using the Minkee with batting , as the batting or as the backing/batting or just how you are going to use it.
1st. lay out the backing (if this is cotton tape, clip or however you normally connect to table top) If Minkee, fleece or whatever just lay it out on a flat surface, straighten it out with no bubbles, pleats or whatever. DO NOT TAPE IT, STRETCH IT, CLIP IT OR FASTEN IT DOWN.
2nd. Lay the next layer on top whether it is the batting or if it is the quilt top. When the top is placed on top start the pinning. No need to use hundreds of pins just enough to keep layers together. As you quilt on your sewing machine flatten and make sure the layers are without tucks and quilt away. Binding: some in my guild cut regular cotton and apply like for any quilt while others just fold over the fleece or Minkee (if used as backing) from the back to the front and sew it down. This is a quick process and makes a light in weight but warm quilt. Kids love them. Hope this makes sense--I am NO teacher more of a let me show you person. Good Luck, Sue