This succulent's name is confusing because it is not a palm. We do get some freezing temperatures here but it's nothing compared to other areas with severe winters. It's up to the individual when they decide to take down the bloom stalks. Cut back on watering in the winter when the leaves have fallen off. This means your succulent has access to water longer and will likely survive with more time between watering. Many of the leaves can root and grow new plants but it takes a lot more time than stem cuttings.