If you poke around the website, there are a ton of links with helpful information. The link below is one that I would recommend checking out. In particular, focus on the tips for success. When the compost is applied, it looks really terrible for a week or two while the grass grows back through. The biggest mistake that I made was that I thought the grass would grow back through everything, but I ended up with some dead spots. In the long term they grew back so not a big deal, but that could likely have been avoided if I just scraped the heavier areas around to expose the existing grass and watered better.
The second link has some options for companies that will do the work. I can't vouch for the validity of the links because when I started contacting the companies a couple years ago, most of them didn't return my emails. I worked with AJ and Tony Toigo, and they did a good job.
I think the total was ~$1,500 for a normal lot. There was something that the city didn't reimburse (aerating maybe?), so I got $650 reimbursed.
Soil quality restoration is the process of improving soil health on new or existing lawns by reducing soil compaction through tillage or aeration and increasing organic matter content with the addition of high quality topsoil and/or compost.
iowastormwater.org
