Store the make-up in a dry and cool place until the next time you use it.
You can clean brushes with water and soap or shampoo.
The Powder and Blusher Brush is cleaned like this too. Put the moist hairs of the brushes back into shape by hand after washing. Dry the brushes lying flat on a towel and do not place them upright, since that causes the moisture to run down into the shaft.