Jan, I have those horrible things. Mine came two pair to a package, and the great state of Minnesota paid for 2 packages. I had almost exactly the same experience you had trying to put them on, and said the heck with it. Ace bandages are the way to go, I'm telling ya!
Love, Candy
PS: The little thingy they gave you doesn't work either!! I have gloves to use too, so I don't put runs in them. THAT was a COMPLETE disaster trying to use those!!