As usual DISers are getting out of hand with their own personal opinions - geez, give OP a break!
Some of us are very allergic and asthmatic to chemicals, of which bleach is one. My mom and I are very allergic to bleach - we have respiratory issues, get hives, runny eyes and even nauseated/throw up. It is what it is.
I live in a very chemically polluted city - so many allergies, asthma and learning/behavior disabilities and autism present, so if the OP wants to protect her child, good for her. That being said though, I wouldn't talk to manager about it. She or hubby should have carefully and calmly spoken to neighbor about allergies with baby, and then I'm sure the neighbor would have responded favourably. He probably didn't even think twice about - I have serious chemical allergies, and I don't yell or snip at people (not saying OP did), and I have reason to as they harm me and make me sick. I know that people aren't being malicious when they wear perfume or use bleach. Honestly, people without allergies or chemical sensitivities just don't think about these things - hopefully you all can have an amicable relationship from this point forward and you can ask him to let you know if and when he is going to use bleach again as the fumes did find their way into your home.
Tiger