What do you use for depriming brass?

Do you just deprime when you resize or do you deprime first, then clean, then resize using a "universal" depriming tool (like the Lee depriming die, or the Harveys hand held deprimer)?

Has anyone who deprimes before cleaning/resizing used the Harvey depriming tool? Looks kinda like the Lee and RCBS hand primer. https://harveydeprimer.com/