Cheyenne Ranger, Yep, I know what you are going through. You have already received two good ways to overcome the lube mess. I like to cast a lot of handgun bullets in the winter time as we can go through a couple thousand rounds a month with shots and practice during the summer. Here is what I do. I just use the large white boxes which bulk commercial bullets come in. As I lube each bullet in the "lubamatic" I place it base down in the bottom of the box and set the next one next to it in rows. When the first layer is complete, I put a piece of cardboard between it and lext layer of bullets, until the box is full. Then I fill about ten more boxes. If you store BP lubed bullets in this manner, they do not move arround much and rub up agaist each other. This has worked very well. If this doesn't work for you, your lube is TOO SOFT! Good Luck! Make Smoke!
