You need to get a pruner to cut off the dead blooms. Cut them on an angle, about 1/8 inch above where you will see a small bud near a leaf. Just removing the peddles will not do anything. Do not break off any stems. You need to make a sharp clean cut for another rose to bloom. Just be careful not to cut off the bud on the stem. Its really small near a leaf. once you see where these buds are, you will get better at trimming your rose bushes.
Good luck