I'm the one who can be allergic in my family. I get final say on pets. Period.
If I ever become brave (I will not drug myself with western medicine for allergies after years of doping myself for that reason,
which is likely the reason why I have so few memories of high school and early college when I was taking them), I'll get a poodle (a big one b/c I generally like big dogs) or a maltese (always wanted one anyway (despite the big dog preference), and I found while babysitting on NYE that I wasn't even slightly sneezy with their Maltese). Though while growing up we had Alaskan Malamutes that I was NOT allergic to, so if we have a big enough place I'd go with one of them.
Things that have helped me lower my over reactions: acupuncture, not eating dairy of ANY kind (not even byproducts like whey), and chiropractic. Only the last is sustainable for me...I'm too addicted to dairy to go vegan (I'm already vegetarian), and acupuncture gets expensive.
Regardless, I get the final say, since I'm the one whose health is impacted, and I think you should get final say as well.