Hand washing
I recommend hand washing your pieces. You can put the pieces in the dishwasher, but the glaze can get dull over time.
I do not recommend using your pieces in the microwave. For environment reasons and health I do not use one so I did not test it. 
Oven Use
To avoid thermal shock you must put the pieces in the oven before you preheat it. This helps the piece to get used to the heat.