Don't use household bleach or peroxide for hair coloring.
The bleach can cause severe burns and make your hair fall right out, so it's a definite no-no.
Many people use peroxide to lighten their hair a little. While it's not harmful in the way that bleach is, peroxide on its own is pretty useless as a lightening agent.
It merely exposes the underlying pigment, turning hair brassy.
If you want to lighten your hair, get a lightening kit and read about bleaching hair and hair toner so you know what you're doing. That way there won't be any unpleasant surprises... like losing your hair!