From Ground: First, use the garden spade to carefully dig around the coastal Tidytips plant, being mindful to keep as much of the root system intact as possible. Start a few inches out from the base of the plant to avoid damaging the roots, and try to get under the main root ball. Once separated from the original soil, lift the plant gently from the hole.
From Pot: If coastal Tidytips is in a pot, first water the pot well and wait for a few minutes. Then, place your hand on the soil surface with the plant's main stem in between your fingers. Turn the pot upside down, tapping the bottom to release the plant. Keep the plants' root and soil intact as far as possible.
From Seedling Tray: First, water the tray until it's thoroughly moist (not waterlogged). Then, use a small garden trowel or your fingers to gently raise the seedling from beneath, attempting to maintain the tiny root ball intact.