Some thymes creep along the ground forming 6" to 8" tall spreading carpets and others grow into a 1.5' clump. The carpet-like varieties look nice planted at the front of a garden bed, in a rock garden or between paving stones. Thyme blooms in mid-spring and attracts lots of honey bees. Thyme honey is considered some of the very best.
The easiest ways to propagate or multiply thyme are by root division or rooting cuttings in water.
To Propagate Thyme by Root Division: Lift up the plant and find the places where the roots are growing into the ground. You will notice that there will be roots coming down from the carpet of thyme every foot or so. Place your shovel about 5" from the root system of the plant you want to separate and push the shovel all the way into the ground. Lift the shovel at an angle to separate the root system of the plant you want from the rest of the carpet. Now plant this newly separated plant in your garden. Choose a place where the thyme can spread a couple of feet or so over time. Water the new plant thoroughly.
Thyme is best used fresh. Cut thyme leaves any time of the year that you need them. To use thyme fresh, cut the sprigs you need with scissors, wash, and then strip the leaves from the stems and cut the leaves to help release more flavor. Use thyme early in the recipe to help balance out its strong taste and to give it time to adequately infuse the food.
Check out this video for more detailed instructions and tips: