To make my stainless steel sink sparkle, I turn again to my standbys, baking soda and Sal Suds spray. I made a handy shaker for my baking soda out of an old seasoning jar.
Spray the sink down with the Sal Suds solution and then sprinkle the baking soda lightly. Using a stiff-bristled dish brush, scrub the sink vigorously, especially in the curves of the corners, and the top edge. You may need to apply some baking soda directly on to the brush in order to scrub the vertical surfaces. Be sure to scrub around the drain and the stoppers. Rinse with hot water and a washcloth, and dry fully with a towel.
It brings a shine to my whole kitchen when the sink is this clean. And since my kitchen is at the heart of my house, the shine carries over into other spaces, as well.