Answer: Sounds as though you have a good plan. Here are the steps recommended for renovating an old lawn:
Apply Roundup or Kleen Up type killers on hardy weeds and grasses.
Mow the lawn to a height of about one inch.
Aerify the turf by slicing, coring, spiking or with dethatching equipment which will help relieve soil compaction and eliminate thatch.
Rake or sweep the lawn to remove clippings and other debris, including rocks.
(Since you plan to rototill the area, you'll need to rake up as much of the old lawn roots as possible, then rake to smooth the area.)
Apply 3-5 lbs. of a good nitrogen-based, slow-release fertilizer per 1000 square feet.
Spread the seed with a drop-spreader or a hand-cranked "whirlwind" spreader. Special attention should be given to spots where the ground is bare. Extra seed should be applied by hand to these spots.
Drag or rake the grass to be certain the seed comes in contact with the ground. On bare spots apply a light mulch of peat, straw or sawdust.
Water the seedbed slightly so the soil surface is moist. Continue watering lightly so the soil does not become hard or baked.
When the seedlings reach a height of 2-3 inches, mow to a height of 1 1/2 inches with a sharp mower at a time when the grass is not wet.
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