You might want to consider renting a slice seeder this late summer/early
fall.(depending on where you live)

Thanks for the tips. I live in northwestern Illinois, very similar
climate to NE Ohio (where I grew up).

I was told that if I plug aerate immediately before overseeding, when
the plugs "melt" the soil will help cover the new seed, plus some seed
will go into the holes. Do you agree with this?

And while we're on the subject, when should I dethatch? When I'm done
mowing for the year?