There are many terms when it comes to applying makeup; stippling, buffing, painting, rolling, smudging, and more. The following video describes which brushes to use and what techniques to use with those brushes.
Video:
How to Clean (example):
1. Run the brushes under warm water.
2. Squirt some shampoo into a bowl of water and swirl them around or use the palm of your hand to lather up the brushes.
3. Rinse the brush again under running water.
4. Repeat these three steps until the water that comes out of the brush is clear.
5. Use a cloth to dry the bristles, reshaping them to their correct position as you do.