I too stitch my binding to the back first and fold to the front.
Also, sometimes is it's a quilt that's going to get lots of wear---for a child---after quilting I trim the batting, as usual, and then trim the backing 1 inch all around. I fold that to the edge of the quilt top and batting and then fold once again over the top. Do this and stitch each of the 2 sides and then the top and bottom. Top stitch with a walking foot or use a decorative stitch. Corners aren't mitered this way but if you're in a hurry and it's a quilt that's going to get lots of wear it works great.