It will depend on which type of succulent you have whether you use stem or leaves cuttings. You can take a cut from a mature succulent's leaf by simply snipping or breaking off a portion of the leaf. You can also trim the damaged parts of the plant if you don't want to wait for the plants to heal. Cacti plants can be grown fairly easily, but you still need to care for them. Professional air plant breeders don't require a dedicated nursery to grow their Tillandsia collections. Some air plant varieties can take their time in raising new pups.