dishes in general:

plates, silverware: toss in the dishwasher.
bowls: rinse if they've got something that'll cake on, then toss in the dishwasher.
glasses: if they had water, dishwasher. if they had something else, rinse first (to prevent stuff gooing up in the bottom).

I have a lot of dishes, plates, glasses and whatnot, so typically I'll run the dishwasher once, maybe twice a week.

I don't eat cereal, as a rule.