Rudie and Eddy eat from plastic little bowls. I buy them new once a year (kids bowls from IKEA). They go into the dishwasher like everything else (why else do we have that noisy thing?).
They have an automatic feeder for the dry food.
Both drink from a ceramic bowl with cute little cat pawprints in it, and one where fishes are swimming in. But, they mainly drink from Cookie's bowl in the backyard with rainwater in it.

When we go away for the weekend, I usually have an automatic feeder out for them with the wet food. It has 5 bowls covered with a lid that pop open for a few hours with a timer, so they can eat at their normal feeding times. It has a cooler in it too, so the food can't go off.