I have a whole collection of bowls: glass salad dishes for canned food, ceramic and stainless steel for dry, china for cat milk, and ceramic for water. Everything goes through the dishwasher, so I've got several of each type. The only plastic I use is the Petmate fountain, which also goes through the dishwasher once a week. The funniest thing is that we can't use the "wrong" type of bowl, for example, put canned food in a steel bowl, or cat milk in a glass dish, as Jamie will complain and refuse to eat or drink.
It drives my husband crazy, and makes my mother-in-law paranoid when she cat sits. When he was a kitten, I would just grab the nearest bowl and fill it, but he had his own ideas about "proper" bowls for certain things, and now there are ironclad rules.
I stopped using plastic years ago, when we had a dog that would tip all his bowls - I finally started giving him his food and water in heavy stainless steel pots.