Identify which blooms, leaves and stems are dead. Dead stems will have a brownish or black color, while living stems are green.
Cut dead stems at a 45-degree angle with one clean, swift cut of your pruning shears.
Snip stems or branches that are thinner than a pencil. This will prompt the growth of thicker stems and branches which make for a more voluminous, more attractive rose bush.
Cut any rose buds that face inward toward the plant. These buds will die from a lack of sunlight, anyway, so remove them to encourage outward-facing blooms.
Cut away dead and wilting blooms.
Remove all the leaves, blooms, stems and branches you've cut and dispose of them.
Apply a dab of white wood glue onto the places you've cut. This will create a seal, keeping out insects and parasites. This isn't necessary, but a good preventative step.