The pillowcase method means you'll act as though your quilt is a giant pillowcase, leaving an opening on one side that's big enough to turn everything inside out. You can do right side to right side and if you like, add batting to one of the pieces first, making sure it's on the top of your sandwich so once it's turned it's hidden in the middle. If this is confusing, pm me and I'll see if I can clarify.
For the next part, you can begin on any of the seams this is just to give you a good idea of the process. The amount of space between your start and finished seams depends on the thickness of the fabrics and batting. Just make sure you give yourself enough room or it's a struggle to get everything back out of the opening.
Once you have a partial seam at the top, around side one, the bottom, side two and a partial at the top, turn it right sides out and then blind stitch the top. Since the instructions say machine only and it's easier :D *bonus* :!: you can top stitch over the rest of your seam to close.
I always use bias double binding, so I'll probably stick to that. Have fun with your quilt!!!!