Bleaching is murder for ANYONE'S hair...
I used to bleach it and dye bright red streaks over the top. In my proffesional photos you can probably still see the remnants of orange that resulted when the red washed out 0_o
Try dying your hair with henna. It's a little messy,
But it will repair your hair, and as it is further exposed to air and you re-dye, the color becomes more intense.
I can't really recommend how to get your hair the blonde you want because it will just involve more Damage...
I think Garnier do a range of 'nourishing' hair colors. Nutrisse or something?
Good luck hun, because I'm a big fan of your hair x