Soak the soil around the sea lavender you plan to transplant until it is damp at least 12 inches deep. Water a half a day to one day before transplanting to allow excess water to reabsorb into the soil.
Dig out the sea lavender plant by digging out a root ball the size of the outermost leaves. Dig the root ball at least 12 inches deep to remove the majority of the roots.
Dig a hole at the new planting site that is the same depth as the root ball and slightly wider.
Set the sea lavender upright in the new hole. Line it up so that the base of the stalks is level with the natural soil line. If necessary, lift the plant back out of the hole and add or take out soil to adjust the depth, then replace it in the hole. Handle the sea lavender plant by the root ball when transporting and replanting.
Backfill the planting hole with the same soil you removed when digging. Pat down the area gently with the flat of your hands.
Soak the soil around the new transplant until it is thoroughly damp as deep as the planting hole.
Mix one tablespoon of all purpose, liquid fertilizer, like a 16-12-10 or 20-20-20 formula, with one gallon of water. Pour the liquid over the soil around the base of the new transplant.
Spread a 2-inch-deep layer of mulch, like seasoned compost, sawdust, straw or wood chips over the soil at the base of the new transplant.
Water whenever the soil starts to dry out for the first season, especially in hot weather when a newly transplanted sea lavender is most likely to dry out.