What should be done with animal and vegetable derived fat, oil, and grease if they're not supposed to go down the drain?

For households, they should be put in the trash. Fat from cooked meat will collect at the top of the poured off liquid and form a solid. This solid fat can be scraped off and put into the trash. The remaining liquid can then be poured down the drain. Putting the material in the refrigerator or freezer after it cools off can accelerate this whole solidification process. Also, consider keeping an empty plastic milk container with cap. After liquid cooking oils or other oily cooking liquids have cooled they can be poured into the milk container. When the milk container is full, it can be capped and put in the trash. Restaurants and other commercial food preparation activities generate a large enough quantity to make recycling economical. Therefore used fats and oils from cookers should be put in appropriate recycling receptacles.