The name of the succulent is confusing as it's actually not a palm. It does get cold here, but not in the same way as areas with very severe winters. It is upto you to decide when to cut the bloom stalks. Cut back on watering in the winter when the leaves have fallen off. This allows succulents to stay hydrated longer, and they are more likely to survive without watering as often as possible. While many leaves are able to root and produce new plants, the process takes much longer than that of stem cuttings.