Prepare your cactus's new pot. Place a layer of broken pot pieces at the bottom, followed by a thin layer of sphagnum or peat moss.
Fold the newspaper to a size that allows you to encircle the cactus. Position the paper between the cactus and your hands, grasping the folded ends of the paper.
Lift the cactus out of the soil and move it to its new location. Adjust the position of the cactus using heavy work gloves or kitchen tongs.
Unfold the newspaper into a square shape. Pour your new potting soil onto the paper and then grasp the middle of two opposing sides. Bend the newspaper into a "U" shape and pour the potting soil around the cactus's roots. Place a thin layer of gravel on top, leaving one inch of room to the rim of the pot.