Go find or buy a 2 cycle Mantis with their aerator (straight) tines on it. Those tines used as intended (to aerate) are a joke but.....put them on and drag the Mantis backwards and you'll have four 1/4" - 1/2" slits in the ground that make a perfect bed to lay seed in. The Mantis is light weight and has more torque than you'll ever need. A 10x60 area can be done in no time. I bought the aerator tines for just for that purpose and they work great.
....how we view life can sometimes be effected simply by which side of the grass our feet are on......