Mix TSP and water in a bucket according to the manufacturer's directions. Pour the solution into a garden sprayer.
Spray the TSP solution over the bricks. Scrub the bricks with a long-handled broom.
Rinse thoroughly with clean water and allow to dry completely.
Mix 5 parts lime to 1 part salt in a 5-gallon bucket. Add water slowly while stirring until the mixture is the consistency of a thin pancake batter.
Place the painter's grid on the side of the bucket. Using a roller on a painter's pole, quickly apply the whitewash to the bricks. Allow to dry for four hours.
Spray the bricks with water to remove part of the whitewash, using a garden hose equipped with a spray nozzle. If necessary, use a broom to scrub part of the whitewash off the bricks for a subtle chalk-like appearance. Allow to dry completely.