What other options are out there for people with cat allergies, besides antihistamines?

I would very much like a cat, or some other cute fuzzy animal. I grew up with outdoor cats most of my life, and really miss having a cat around. Here’s the kicker; I’m severely allergic to them to the point where being in a house or room with cats can cause me to go into an asthma attack. I am also allergic to pretty much any furry and or/feathery animal.

When my family had cats, they had to be strictly, or at the very least mostly outdoor cats. If I pet them I had to wash my hands immediately, and I was constantly popping Benedryls. I tried Claritin D (the one you take only once a day) for a while, and also Allegra, loratadine, and nasonex. My mom and I shared a room for a while, and she told my my wheezing at night really scared her. When I moved in with my boyfriend into a cat-free house, I discovered that I had never known what it was like to actually be able to breathe! I have also found myself to be allergic to All things with fur or feathers, as well as reptile feces.

But… I really miss having a sweet small and fluffy something or other to care for. Also, I am moving to a city in a couple months, and may not be able to have a yard.

Has anyone had luck with allergy shots? What other options are available?