Plan the removal of the basketball court before beginning the deconstruction. Enlist the help of a few friends to relieve yourself of some of the hard labor.
You'll need to purchase or rent a jackhammer (and know how to use it). You'll need to be able to remove the concrete from your yard once you've gotten it into pieces. A jackhammer can be obtained from a local home improvement store, such as Home Depot or Lowe's.
You could pile the concrete in a pickup truck, which could damage your truck bed, and make multiple trips to the dump or you can rent a heavy-duty disposal unit (roll-off dumpster) from a local dumpster rental facility and fill it up.
Disassemble the basketball goal. Take the net down and use hand tools, including screwdrivers and an adjustable wrench, to remove the rim and backboard from the goal post.
Put on protective wear (gloves and safety glasses) before breaking up the court.
Section the court into small areas of about three or four square feet for jackhammering.
Jackhammer the court, section by section, and remove the concrete pieces from the area as you go. When you finish with the jackhammering and debris removal, you should have a patch of raw earth, with only small pebbles of concrete left.
Break the concrete that secures the goal post in the ground and push the post down. Dispose of it as necessary. Now the basketball court is gone. You can cover the ground any way you like, with fresh soil, sod or new pavement.