People believe dog fur causes allergies but it's really their skin dander and sometimes saliva. Some people can be alleric to one dog but not another of the same breed. Arrange to spend at least a few hours with the dog you'd like to adopt. That is the only way to tell if you are allergic.
There are many dogs that are good for people with allergies. These are just a few-Poodles, Basenjis, Bichon Frises, Bedlington Terriers, Airedale Terriers, Chinese Cresteds and Bouvier Des Flandres.