There are multiple ways to clean a kitchen sink. You can do that using a simple baking soda or an all purpose cleaner.
When using a baking soda to clean your kitchen sink you will need several supplies to begin with: baking soda, double sided sponge and an old tooth brush.
To start cleaning the kitchen sink you have to wet it well. Sprinkle the soda all over the sink and leave it for few minutes to set on the bottom and the walls. Wet the sponge and start scrubbing the sink with the scrubbing side of the sponge. Use the tooth brush to clean the drains where is difficult to clean with sponge. Leave the sink again for few minutes.
Wash the sink with warm water to remove all rests of soda and dirt. After you are done use a cloth to soak all the left water.
When using an all purpose cleaner
you have to know that the most difficult parts of the sink are the spout and the drain. This means you have to apply the product really well on these spots. Leave it to rest for few minutes, after take the tooth brush and start scrubbing the spout and drain. Use the double sided sponge to clean the rest of the sink. After you are done scrubbing the sink you have to wash it with warm water. Dry the sink with a towel and you are done.