My mom gave my grandmother a potted tulip. Naturally, the blooms lasted only a few days and the plant looks incredibly sad now. I'd like to save the bulbs to plant in the fall so she can see the tulips again in the spring but I'm not sure how to do so. Do I cut off all the greenery or leave a stub? And what's the best way to save the bulbs so they'll be ready to plant in the fall?