For success with cuttings, the essential environmental rerquirements are temperatures of 65 to 75 degreed F, an atmosphere conducive to low water loss from the leaves, ample but not excessive light, and a clean, moist, well aerated, and well drained rooting medium. An easy way to provide this at home is to purchase a plastic flat with a clear dome lid. Most nurseries will also have perlite available for the rooting medium. Fill the flat to the top with the perlite, insert the cuttings, sprinkle until water runs out the bottom and put the lid on. Set it in a bright light, but not in the sun.
Bottom heat is helpful.
The easiest cuttings to take and propagate are tip cuttings of new spring growth about three inches long. Remove all leaves on the bottom part of the cuttting. Remove all flowers and flower buds. Don't allow them to dry out at any time. Some shrubs are easy to propagate using stem cuttings.