Cut off the tips of healthy stems, taking sections 4 to 6 inches long. Remove cuttings with a sharp, sterile knife to avoid damaging plant branches. Sterilize your knife with rubbing alcohol.
Remove any leaves from the bottom half of the cutting. Make sure there are two or three nodes -- places where leaves were attached -- on the stripped section, because roots will form at these nodes. Place the cuttings in water.
Mix the perlite and sphagnum moss together in a 50-50 blend, to create sterile rooting soil. Thoroughly moisten the rooting medium. Fill the pots with rooting medium and allow all excess moisture to drain out.
Make holes for the cuttings in the rooting mix, using the pencil. Dust stem bottoms with rooting hormone and shake off any excess. Stick each cutting into a hole and firm the soil around it. Water pots well, and allow excess water to drain.
Place each pot in a clear freezer bag. The plastic bag will create a warm, humid "greenhouse" that will keep cuttings hydrated until roots can pull in moisture. Place bamboo stakes in each pot -- on opposite sides -- to prevent plastic from touching the cuttings.
Put pots in a warm location near bright but indirect light. A window with an eastern or southern exposure is ideal. Avoid direct light to prevent burning and to keep "greenhouses" from overheating. Roots should develop within three to four weeks.