Sweep the pathway with a broom to remove all loose dirt and debris.
Remove tough dirt from the concrete with a high-pressure, low-output power washer. This type of power washer prevents water from running off into the grass and local waterways.
Dampen stains with water. Pour just enough powdered dishwasher detergent over the stain to cover it; too much detergent can harm the surrounding grass.
Cover the surrounding grass with tarp or plastic while you clean the pathway. Scrub the stain with a long-bristled brush and rinse the area carefully with clean water.
Remove the tarp from the grass once you are finished; a lack of sunlight can kill the grass. If the soap solution gets on the grass, spray the grass with a water hose to dilute the soap.
Pour cat litter over grease and oil spots to remove them from the concrete. Let the litter absorb the liquid, and then sweep the kitty litter into a garbage bag.