From Ground: Make certain the soil around the prostrate speedwell plant has been well watered to make removal easier. Using a shovel, dig a wide trench around the plant, being careful to not damage the root system. Lift the plant gently from its location, keeping the root ball as intact as possible.
From Pot: Start by watering the prostrate speedwell plant, this allows for easier removal and reduces stress placed on the roots. Turn the pot on its side, roll it gently to loosen the soil and plant. Pull the plant out of the pot by its base, using care not to tug on the stems or leaves.
From Seedling Tray: Water the prostrate speedwell lightly to moisten the soil. Grasp the seedling by the leaves, not the stem, and gently pull it out of the tray. If the seedling resists, use a utensil like a spoon to leverage it out of the cell without damaging the plant.