Looks like I'm the odd one here. I never till.
When we moved to this location, most of the soil where I wanted my garden was rock hard clay. I started in the fall with a load of composting manure, all the grass, leaves, straw, etc that I could get my hands on.
I did a lot of shallow planting that first year, potatoes planted in straw, etc. I mulch heavily w/ straw, coop litter gets dumped in there and the hens do fall cleanup and light tilling. Each year the soil gets better and better. I had one small area of clay that wasn't breaking down well after a couple of years, so I did break out the shovel to help it along.