First you must read the labels on your clothing...if they say DO NOT BLEACH...then do not use chlorine bleach.
Use a non-chlorine bleach such as Clorox 2.
Even some whites will not tolerate chlorine bleach.
Clorox 2 will brighten your colors,
as well as whites.
Wash the whites in hot water,
if you are using Clorox 2 and the clothes have dulled,
soak them for about an hour and then launder as usual.
Repeat if necessary.
If they are dulled because they have been bleached with chlorine bleach,
then you will not be able to brighten them.
Chlorine bleach will turn some whites yellow,
and some whites gray.
Wash your bright colors in warm water and Clorox 2.
They will look bright once again.
Dark colors can be safely washed in Clorox 2 but it is not necessary.
Just wash them with your usual detergent but use only cold water.
Many years experience...raising a family with bright clothing