I made a movie that shows how I take my blocks off of my design wall. I place the applique pieces on half of a folded sheet of paper (that has a smaller piece of flannel on it). the pieces are stacked so that piece #1 is on top and ready to sew.
Once all the pieces are on the flannel, I fold the paper over them. I place the folded paper (with applique pieces) in a gallon-sized Ziplock bag. Usually the overlay will fit in the bag too. I carry my Frostings thread/bobbin sets, a pair of scissors, small pincushion, and toothpicks in a smaller baggie.
Enjoy the movie!