mjgigax - I've had severe allergies all my life to everything from dust and pollen to evergreens and any animal with fur or feathers. My mother-in-law owns three cats and a two-hour visit to their house would leave me wheezing and itchy. My doctor put me on omnaris nose spray and claratin as long-term maintenance medications and I can honestly say that I am surrounded by nearly everything that I am allergic too and none of it bothers me. As an added bonus, the inhaler she gave me for emergencies makes me run like the wind for the yearly fitness test the army makes me take.
BarnSwallow - I'm sorry your neighbors are being hateful. You might consider being the one to contact them first, rather than waiting for them to come to you. It would give you the advantage of being prepared for the conversation and possibly catching them offguard. You might get a more honest answer out of them if you don't give them the chance to prepare some bogus story that they might try to hide behind. Push them out of their comfort zone, most people talk a good game behind your back, but can be backed down pretty quick if you take control of the situation and confront them before they are ready for it. If they get loud, stay quiet, and if they get emotional, stay calm. It helps them to calm down and they will feel dumb for losing their cool and would be more likely to work something out.