From Ground: Start by watering the rose cactus plant to soften the soil. Then, dig a wide circle around the plant's base using a digging spade, aiming to keep as much of the plant's root ball intact as possible. Elongate one side of the circle to create a trench and work the spade carefully under the root ball to lift the plant and its roots from the existing location.
From Pot: Water the rose cactus plant and turn the pot sideways, hold the plant steady with a hand on the base. Gently tug and shake the pot to loosen it. If the plant doesn't budge, you might need to cut the pot away.
From Seedling Tray: Moisten the soil first. After it's hydrated, gently remove the rose cactus plant from its cell by pushing it up from the bottom. Be very careful not to pull the plant by its stem – the roots are really what you want, and pulling by the stem could damage or kill the plant.