Use a 4-foot level to find all the areas of your lawn that are sloping downward.
Consult a diagram of your yard that shows where important pipes and wires are located underground. This will help you avoid any serious issues, such as digging into an area with a gas line running beneath the surface.
Focus on areas where the slope can be adjusted, as opposed to areas that contain trees or anything else that is unreasonable to move.
Cut away the sod on these areas using a rented sod cutter. Roll it up and put it aside until the ground is level.
Dig into the soil several inches and rotate it.
Mix together compost, top soil and sand in a wheelbarrow. Make sure these materials are thoroughly mixed.
Shovel on enough of the mixture to get your lawn level. Rotate the soil to mix it through.
Rake over the ground to level it out. Use your 4-foot level to check. Don't forget to factor in the depth of the sod.
Roll the sod you removed back on top of the soil. Piece it together carefully. Saturate the sod with water.