I know some people say "This is wrong." but.....
(I don't listen to quilt police.)
I put the top onto the batting ONLY. I quilt a little bit, then after that, I take the backing and quilt it to the other two layers. Voila! NO PUCKERING!!!
And now, I have discovered QUILT AS YOU GO where you actually sew your pieces of the top to the batting as you go along. Why didn't I find that some years ago??? It works out amazingly! Before you know it, your top two layers are done and you are ready to add your backing. No three layers for me. I enjoy my working and my work much more when I use these methods. Why torture yourself and the quilt?