I have always had luck with compacting the soil, then lightly raking the top little bit loose, spread the seed, rake again, then cover with a thin layer of grass clippings, or stray, or even a little light layer potting soil in the small areas, but a large area like you have would be best with some straw. Starter fertilizer lightly, let grow for 3 weeks without cutting, and water 2-3 times a day, very lightly enough to keep the seed moist.
good luck
good luck