Cut several pieces from healthy branches. Look for sections about 4 inches long with 1/4-inch-diameter stems for best results, although a slightly smaller diameter will still root. Cut with a clean, sharp knife so you don't damage the tissues of the cutting. Make cuts just after a bud at the top and just before a bud at the bottom.
Set the cuttings into a bucket of water to keep them from drying out while you prepare the rooting mixture.
Soak enough peat moss to fill your rooting container with 4 inches of moss. Place it in a plastic bag and soak it for three or four hours until it is saturated.
Fill your planting container with the peat moss without packing it down. Push the cuttings directly into the peat moss until just the top inch is showing. Space them 2 inches apart.
Cover the container with plastic to form a humid environment for the cuttings for the next three months. Place the cuttings in a bright sunny spot at about 60 degrees Fahrenheit.
Check the cuttings periodically by opening the bag and making sure there is still enough moisture in the soil. Expect the cuttings to bud out after a couple of weeks, then to stall while root growth starts.
Remove the plastic and transplant to individual containers when roots have developed and the new growth starts, about three months.
Plant the blueberry seedlings outside as soon as the weather warms so they have time to establish before the winter.