Q.palm pups growing on trunk
Are they to be removed from the pony tailed palm? Our palm is five foot tall and in the house in the winter and outside in the summer.
You can definitely remove the pups from your ponytail palm (it is optional to do so) and, if you desire, propagate them! If your goal is to propagate, the pup should at least be one year old before you remove it and preferably 2-5 years old so it develops its own healthy root system. The following articles discusses pups, their removal and propagation in-depth: