Snip off dead or wilting flower heads. Always cut at a 45-degree angle.
Cut off any dead branches and leaves.
Snip any rosebuds that face inward toward the plant. Inward-facing buds will eventually die from a lack of sunlight, and pruning them will encourage more outward-facing flowers.
Cut off any branches or stems that are thinner than a pencil. This will encourage the growth of larger, thicker branches and stems, making for a fuller, more attractive rose bush.
Deposit a dot of white wood glue onto any areas you've cut. This will help the plant heal while sealing out any incests or diseases.
Dispose of all the dead matter you've cut off the rose bush. Do not leave it there to decompose, as it will end up attracting incests and parasites.