Lift the narcissus bulbs carefully from the soil with a garden fork. The bottom of each bulb is most likely about 6 inches below the soil's surface.
Brush off the soil from the bulbs, and pull off the yellow foliage. Pull apart bulbs that are stuck together. Narcissus propagates by producing new, small bulbs attached to older bulbs. You may plant the small bulbs, although they may not bloom for one or two years. Discard bulbs that are rotted, damaged or shriveled.
Till the soil of the new planting bed -- which should be in full or partial sun -- to a depth of 10 inches. Work in 3 to 4 inches of organic matter such as compost or leaf mold. Also, work in a complete fertilizer, adhering to the application rates stated on its label.
Plant the bulbs twice as deep as they are in height. For example, plant bulbs that are 2 1/2 inches tall so their tips are 5 inches beneath the soil surface. Space bulbs about 6 to 12 inches apart. Water the planted bulbs' soil with 1 inch of water.