There are several ways to propagate all kind of roses. It's pretty simple. Many people have these questions about their gardens. Is it challenging to grow another plant from a cutting of another one? Not very. Anyone can do it at home.
One way you can propagate or root a rose plant which is good for beginners is by using a mason jar. Cut off a strong young cutting about six inches long (which has already flowered) from your favorite rose bush, cut off the flowers as well. Also, acquire a quart size mason jar, and you're good to go. You probably want to cut at a 45-degree angle. Try cutting right at the bottom of an elbow. Make sure you cut all of the bottom leaves. Put the stem of your cutting into the ground or pot about 1-2 inches deep. It shouldn't be too shallow or too deep. Then you place a jar or bottle over top of your cutting. You will need to water the soil around the jar every so often. It usually takes a couple of months for the plants to take root and grow, so it's best to plant in early fall or spring. Extreme weather conditions are not good for this type of thing.
I think most gardens should have roses. Here are some tips for taking rose cuttings. Rooting hormone is optional. Although, if you use it your plants will probably root faster. You need to use sharp cutters. It prevents the rose stem from being crushed. It depends on the weather but it usually takes about 6-8 weeks for your plant to root. Keep the stem moist. Make sure it gets enough sunlight and oxygen. Make sure the pots you set each plant it are sanitary. You could quite possibly be able to put them in the dishwasher. If you cut little slits within the bottom inch of the stem, this may encourage root growth.
Perlite and vermiculite are both excellent to mix evenly with your potting soil. Putting a dab of honey on the bottoms of the stems stimulates growth as well. These plants grow best with at least twelve hours of sunlight per day. When you go to transplant make sure you space them out. There is a method which involves putting your stems in a plastic bag but reviews of this method are poor. I wouldn't recommend it. Good luck!