Popping in here to make a comment about using waxed paper to get the intricate dies to release the die cut.
Regular waxed paper works ok, but a slicker, more reliable alternative is bakery tissue. This is the kind of paper that you use in the serve your self bakery to pick up donuts. It is waxed, but the wax is so lightly applied on the surface that you can't feel it, unlike regular waxed paper. Another way it differs is that it is whisper thin and quite durable.
I've had great success using the bakery tissue. It is the ONLY product I found that allowed me to successfully remove cs from a fleur de lis square nestie. That sealed the deal for me. Went to our local Albertson's grocery and was able to purchase a nice petite box of 6" square bakery tissue for under $5. It's already saved me many tedious minutes of picking bits of paper out of a die. Bakery tissue is my friend!