Depends if you're allergic to the fur or the dander. Some people are allergic to saliva and urine as well.
I never thought I'd be able to have a dog. I have two now
. Both are yorkie mixes. I do take advair and claritin though to keep my allergies under control.
Yorkies, Poodles, Bichons.... any dog w/one coat... seems to work best because there is less dander.