The other thing you have to be VERY aware of is chlorine bleach mixing with ammonia in urine releases CHLORINE GAS which is deadly. Use only in an extremely well ventilated area. Well, I should clarify, there are several forms of reactions between chlorine bleach and ammonia depending on the concentrations of mixtures. All of the results produce deadly and burning gas. Not pleasant. Long and short, just be really careful. My husband found this out the hard way when he tried to use bleach on the cats' litter box. He was very quickly and nearly overcome. Got him out of the bathroom and turned on the vent fan, but he didn't feel right for a good 30 minutes. I was just about to take him to the hospital when he started to recover. Later on we had to discuss just why he was cleaning the litter box in the tub? Ewww.
I second (or third?) the chlorhexidine as a more safe alternative.