It is much easier to propagate Aloe plants by using pups rather than cuttings. The aloe pup should be at least one-fifth the size of the mother plant before removing it for propagation. The best time to propagate aloe is when you are repotting because you will want to examine the root system before cutting. Your pup should be trimmed so that roots are still intact. Replant the pup in store-bought cactus potting soil or DIY cactus soil (1:1 ratio of soil to sand). Give your new plant about seven days before watering.