A fun way to get professional looking painted coffee mugs is to visit one of the popular paint-it-yourself ceramic shops. Here you will be given ceramic glazes to paint a mug you choose and then it will be fired in a kiln - the result will be a one of a kind masterpiece of permanent beauty.
Craft stores have paints that are specifically designed for painting mugs and plates. Some have to be heat-set (i. e. baked in your oven), others air-dry. Handwashing is often recommended for the finished product. Or go to a paint-it-yourself ceramics store, paint your mug there and have the store glaze & finish the piece in its kiln.
paint is acquired to paint a coffee mug, in order for the paint to stay it must be fired persay in the oven, or a kiln. Primer must be painted on before firing.