Find a spot that is in almost constant sunlight. Both thyme and rosemary prefer full sun all day and need a decent amount of air circulation, so do not have them boxed off in a corner. The soil needs to be able to drain fully for both plants to survive. If the soil is a heavy clay soil, with poor drainage, mix in gardener's sand or gravel.
Dig small holes for each of the transplants with the gardening shovel. Allow ample room between the plants, because thyme will spread out as a ground cover and rosemary grows out into a large spread-out plant.
Water the plants until the soil is saturated, careful not to disturb the new plants. Allow the ground to drain completely before watering again. This may take up to a few days. To test if the ground is drained, push a finger or shovel head into the ground, if they push up water or are wet when you pull them out, there is still enough water in the soil.
Prune both plants in the early spring, clipping off old growth to make room for new growth and buds. Be careful not to cut off any of the flower buds, which are small green pea-looking pods on the stems of the plants.
Apply a slow-release fertilizer annually to keep the soil enriched with nutrients. Sprinkle the fertilizer on the ground before watering to allow the fertilizer to soak into the soil.