For most modern rose varieties that bloom abundantly on new growth, including hybrid teas and floribundas, prune aggressively. Just be sure to wear long gloves so that you don't get stuck by thorns.
1. In late winter to early spring, cut out all dead and diseased canes at the base using a pruning saw. Further cut out old canes, which look woody rather than green.
2. Of the remaining shoots, cut back the strongest to about 6 inches above soil level with hand pruners.
3. Lop off less vigorous shoots at 2 to 4 inches. Cuts should be angled and ¼ inch above a bud.