It is better not to bleach damaged hair, but to improve its condition first. Is it possible to achieve your desired result with hair dye? Then it is better to use dye because dye is less damaging to your hair. But even then, you will first have to condition your hair by taking good care of it.
Do you rely on bleaching for your hair colour? And is your hair in bad condition? Then get your hair in good condition first by repairing your damaged hair and taking good care of it. You can read more how to get your hair in better shape in our blog 'Dyeing bleached hair, what do I pay attention to?'. Because bleaching (however 'gentle') affects the condition of your hair, already damaged hair may even break.