Cleaning can be as simple as wiping the inside of the cushion or nasal pillow with a cleaning wipe, such as the Citrus II Cleaning Wipes, to washing things in a sink or large bowl of warm soapy water.
If you are washing your CPAP mask parts in a sink or bowl of water, use dish soap such as Dawn Original Dish Detergent. It has a great grease and oil cutter that will leave your interface clean from any skin oils and cosmetic greases. Thoroughly rinse your interface with warm tap water. Leave it to air dry in a drying rack or laid out across a towel. In a pinch you can use paper towels or Kleenex type tissue to absorb excess moisture. At worst, put it on wet and enjoy the humid air flow for the few minutes.