Ii will love you forever because you said "chlorine gas" instead of "mustard gas", which is apparently such a pervasive myth that my freaking *mortuary chemistry teacher* stated it as fact in class :/

If you must use bleach on bloodstained evidence, use oxygenated bleach. http://www.exploreforensics.co.uk/detecting-evide...

And when you leave bleach-water sitting out for a few days . . . ew.

Chlorine is the devil. Most of what I have to seriously disinfect is stainless or surgical steel, and expensive. If I caught someone cleaning my instruments with bleach I would smack them, seriously.
I like the phenolics, myself (Lysol Concentrate is the most commonly-available), and quarternary amines rock pretty hard when they're combined with high concentrations of alcohol. Bonus---neither of these will ruin your clothes (although the quats will turn your palms orange if you use latex gloves and don't change them really often).