Zone 5A, Rhode Island, Very sunny lot.

Does anyone have experience topdressing their lawn with compost? Can I do
it now? Does it help? What should I know???

I've got a typical builders lot with typical lousy soil I've tried to amend
over the years. Tilling the lawn is out of the question. I've read that
applying a topdress of compost would really help the soil.

Opinions, thoughts, advice please. I am also trying to switch to a more
organic fertilizer program as well, so any help would be appreciated.

Thank you for your time.