Keep in mind, this is all my opinion:
First, don't go near a garden bed with heavy equipment. You compact that soil, you will pay for that for years. BT/DT. Roto tilling also pulverizes the soil. In my experience with my soil conditions, plow and harrow is best
For breaking up what is there, you could choose a cover crop for your area that is good at busting up heavy soil and pulling up nutrients. Someone local to your area should hopefully chime with a good choice. Tilling in a few crops of that will be beneficial.
After using above cover crops to do some of the work, haul in your top soil. Instead of black plastic, which does work for killing weeds and may be needed if the soil is heavily inundated with weed seeds, I much prefer cover crops to grow and routinely turn in the soil. Instead of making the soil dead (soil is alive, btw) make it thrive. When you are ready to start your garden, turn in the cover crop (field peas and buckwheat are a nice mix), a couple weeks of cultivating weed cots, and plant your garden.