Moss in Lawn

[bigdog]

I have moss in some areas on my lawn in shady areas, mostly under 2 large oak trees. Trees also created some moss on the roof.
Moss on roof will be addressed soon.
Long story short, trees were cut down !

Have applied Scotts moss killer to areas of lawn affected. Liquid killer you spray on with hose attachment.
Seemed to kill the moss literally within a couple hours. Moss changed color to yellow-brown.

Now to prep and repair the area... I know I must rake out the dead moss first, but everything I've read says to wait at least a week to ensure the moss killer has totally done it's job.

After I rake out the dead moss, what are the nest steps?
Lime, reseed, fertilizer ?

Appreciate any feedback by those ho have gone through same experience.

Thanks!