Depending on whether it's to be a quilt or a wall-hanging, you might use a light weight fusible to mount all the pieces on--lightly fusing them in place. You can buy or make your own "lead" bias. I bought black 1/4" from Quilt in a Day with fusible all ready applied. Tucking all the little ends under was the only hard part for me. I was only doing a single block, though so I was able to lay it on a padded board and stab it with pins to hold it down while I used my Clover mini-iron to fuse it. With it all fused, it was much easier to keep it together to machine applique all the bias strips down.