Last summer a gardening company gave my backyard what my son called a Brazilian. In other words, they removed all vegetation with some sort of tool. What would that tool be? I was not there at the time.
Most likely they used a machine called a 'sod cutter'
It looks much like a push lawn mower, but there is a roller and a cutting blade that runs under the roots of the sod.
It generally can be adjusted up or down to account form root depth.
You can rent this equipment from rental companies and even home improvement centers.
They are easy for the home owner to use.
Now rolling up and carrying the sod away is the hard part!