Someone gave me a box of bulbs, Lycoris squamigera (Resurrection Lily), and I don't really know how to care for them. They are in a cardboard box in my basement right now. When I looked up how to care for these, all I could find was that they do not like being dug up. So how should I care for them?
Whether the bulb is sprouted or not, the most important conditions for storing your bulbs are: dry and cold.
The best for the specific summer bulb you mention is between 45-55°F (7-13°C).
The cardboard box is perfect but I'd put some dry material over them to absorb ambient moisture.