Unless your soil is just rock and hard clay, there’s a new way of gardening which is much easier – No Till.
The basics of No Till are to cover you soil and weeds with cardboard and then six inches of compost. I would probably cut the grass and weeds as close as possible to the ground, but you don’t need to till or dig the soil. Brand new compost which you buy from a supplier can be quite “hot” literally so you may need to let it cool off before you do any planting. Ideally, you would put it on in late fall. I buy my compost from https://www.stlcompost.com/compost. If you have a friend with a pickup truck, you can buy compost for $28/yard.
Even though I put down a tarp, I burned the grass since this compost was so hot. I now have it delivered to my concrete driveway.
Another advantage to using compost is that you don’t need any fertilizer.
Below is a demonstration of the No Till method. He calls it No Dig, but it’s the same as No Till.