From Ground: Ensure false buck's beard has been adequately watered then carefully dig around the plant with a spade, maintaining a conservative distance to ensure you don't accidentally cut through roots. Carefully scoop the plant up, while retaining all soil around the roots, this helps the plant to acclimate faster after the transplant.
From Pot: Water the plant in the pot, then gently tilt the pot sideways and try to slide out the false buck's beard. If the plant doesn't slide out easily, try tapping the pot's base to loosen the soil and roots. The goal here is to conserve the root ball with its dirt, which will help in the plant's adaptation.
From Seedling Tray: Be gentle while removing the false buck's beard from a seedling tray, you want the roots to remain intact.
Watering before the removal aids in this process. Use a small spade or even a table spoon to help in this process.
