Thanks everyone for the suggestions.
http://www.ufo-rphanage.com/busy-bags.shtml On this one, how would it be to make bags with the heavy clear plastic and put in zippers and then sew or glue on the sticky tape velcro instead of trying to get the little zip-lock bags? The little baggies are not very heavy, and might rip easily. Or does that sound like too much trouble?
I think I might have to use rectangle pot holders for the iron, as it is longer than the regular Clover one, but this might work. I wonder if there are rectangle Christmas potholders that might be on sale after Christmas. Hey, a mitten potholder might work. I could turn it inside out and sew it,cutting off the thumb, and use the bottom of another for the cord holder on the front and the rest for a flap. Then I could add the zippered pouch for the attaschments. Maybe this will work with little sewing. How do you think this might work?