Wait until the crocus foliage dies back in the fall. Cut it back close to ground with a pair of pruning shears. This will make it easier to see where the corms are planted.
Dig up the corms, which are typically planted between 3 and 6 inches deep. Use a garden fork or trowel rather than a shovel or spade, which are more likely to damage the corms in the removal process.
Examine the corms. Remove and discard the old, flat corm at the bottom of a clump. You should be able to pull it right off. Then, remove the smaller corms growing on the sides of the larger, main corm. Repeat for each set of corms.
Replant the healthy-looking corms about 3 to 4 inches deep, spaced 3 inches apart in a sunny location. The smaller corms may not bloom for a few years, so plant them near the back of the garden or in a starter garden.