Propagation can be done in the spring or the fall. In the spring, you want to propagate with softwood cuttings. Softwood cuttings mean that you use the middle part of a branch. Cut off the ends that are woody near the plant and at the other end of the branch where it is soft and green. You want to use the middle part that is neither woody nor green. Remove all the leaves from one end and dip that end in rooting hormone to encourage root growth. Insert your cutting in a container filled with soilless mix. Roots should start to develop within just a few weeks. When the roots start to grow out of the bottom of the container, your cutting is ready to be transplanted outdoors.
In the fall, you want to propagate with hardwood cuttings. Hardwood cuttings are taken during the late fall through early winter when the plants are dormant. Ideally, you want to take your cuttings right after your rose has dropped its leaves in the fall. Cut off the soft, green end of the branch. Then cut small slits in the other end to expose the interior cambium layer where the roots will develop. Dip that end in rooting hormone to encourage root growth. Then you can either place the cutting in the ground outside or root it indoors like you did the softwood cuttings in the spring. The outdoor cuttings won't be ready to transplant until the following fall.