Ideas collected from a variety of places.  Some I have tried, some I have not.  However, it is absolutely amazing what you can manage to clean with things you likely have in your kitchen for other purposes, rather than reaching for the bottles of chemical nastiness we have been taught are necessary.

Stainless Steel Sink:  Wet it down, sprinkle with baking soda, scrub, rinse.  Use a retired soft-bristle toothbrush and the same paste to clean the rim and caulk, and the rubber around the garbage disposal.  Line the sink with paper towels or rags that you have soaked in white vinegar.  Leave for 20 minutes.  Clean down again, this time with sponge and soapy water.  Rinse.

Garbage disposals:  Pour a half cup of baking soda down the drain, then a cup of water.  Boil a kettle, and pour the water down the drain.  Add two cups of ice and one cup of rock salt to the drain, turn on the disposal until it goes down.  Take a lime or lemon, cut in half, and send each half down the disposal.

Faucets:  Soapy water and a sponge, or vinegar soaked paper towels.  Using newspaper to polish them works quite well.