The absolute safest way to remove asbestos contaminated ceilings is to call a professional to do it for you. Licensed contractors who have been trained to handle and remove asbestos are more likely to do a more thorough and safe job than you would.
When removing asbestos from a popcorn ceiling, you must wear protective clothing from head to toe. Caution is important when handling asbestos to keep the fibrous material out of the air and off the walls, and properly disposing of it.
Take note that the process of taking down popcorn ceilings, asbestos aside, is a messy and time-consuming task. This is compounded by the dangerous threat of breathing in and contaminating your home with asbestos particles.