I love growing herbs! Propagating basil is really just as simple as cutting, stripping the lower leaves and keeping it in a water for a few weeks. Voila, a ready to plant basil and the mother plant will usually benefit from the trim.
Dream State: Grow Your Own Ginger At Home - start it indoors early in the season, as a houseplant. Then move outdoors into your garden in the spring. Every "finger" of the old root will produce a new ginger root.