Sew your binding to the front of your quilt with raw edges together, flip the binding over and pin in place, making sure the edge of the binding is covering the first line of stitching. Sew again from the front, right along the seam edge in a thread the same colour as the top (if you wish you can use a bobbin thread the colour of the binding). You could also use a decorative stitch, which is easier as you would sew that directly on the binding and it doesn't have to be as precise in order to catch the back.
This is exactly how I had wondered in my mind if I can do it! Thank you so much for confirming that! I will have to try it!
And the extra backing for the binding is a good idea too.. that is for like smaller things, like my practice quilt I am working on, or other things. I didn't even think of that!
Thank you all for the ideas, I now can't wait to do my binding!
Oh one more question if anyone see this.. Which is better for sewing the binding together, just a straight line seam between each piece or the 45 degree angle that was in Heather Bailey's tutorial!? Which is sturdier?!