(Answering per request in PM)
The active ingredient in Bleach is Sodium Hypochlorite.
1) Bleach is a strong disinfectant (much stronger than vinegar), which is why when I am dealing with something potentially infectious (like mouse droppings) I tend to use Bleach.
2) Bleach can leave a residue when it dries. However Bleach is unstable, and breaks down to salt (Sodium Chloride) and water. So I tend not to worry too much about it.
3) Bleach is not harmful in small amounts.
4) Bleach is water soluble... So after I clean my cabinets with bleach, I rinse out the rags I used in clean water, and then rinse off again using only water.
I use bleach in my clothes. I also use bleach to sanitize my dishrags (I use to clean the kitchen). The first use has never caused a problem. For my dishrags, I rinse well with only water before I use them.