Does wiping surfaces down with bleach water kill mrsa

Using bleach in water (not straight bleach) with a new cloth or paper towel (no sponges) each time should kill the bacteria.
Just keep in mind that it is almost impossible to clean every single spot on every single surface around you.
Think of hospitals, who try to stay clean, yet still have MRSA.
Don't use anti-bacterial soaps on your hands, but do keep them clean without overdoing it - your body needs good bacteria on your skin, as well as your natural body oils that help protect your body.