Answer: Actually, you'll be doing the plants a favor by dividing them. When roots/bulbs are overcrowded they don't grow very well and they won't bloom well because of the competition for moisture and nutrients. I would divide the clumps into smaller clumps by using a shovel and digging straight through the clump. As long as each division has some roots and some leaves, it should recover and grow into a healthy new plant.
Good luck with your project!
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