My personal opinion is that there is no such thing as a truly hypoallergenic dog. Since poodles have hair and not fur, their dander is different than the fur-dogs.
There are lots of wipes and baths that are for reducing dander on your dog's hair or fur. I've had success with a few--I used Allerpet for a while. I tend to not be allergic to poodles but am allergic to most dogs. Some dogs are worse than others. My dad has a mini-poo who's highly allergenic...I get hives on my arms if I handle him. But most poodles don't affect me. My border collie mix isn't too bad for me as long as I keep her clean and don't let her lick me.
Here's an example of a wipe (this comes in a shampoo too):
Also saw this book; looks like it's worth a read!
I'm ordering it since my 16yo seems to be a bit allergic to Lily. :/ Of course she admitted she hasn't taken her Zyrtec in weeks! I take Claritin year-round as I have a TON of environmental allergies, indoor and out and year-round. Adding dog allergies doesn't make me any better or worse. I also get quarterly Kenalog shots for allergies.
Now odor doesn't cause allergies. If you are allergic to his saliva (do you get hives where he licks you?) and he grooms himself a lot, then the dry saliva particles on his hair could be affecting you. So those topical dander removers would still possibly help.
I've had asthma since I was 3 years old and I'm allergic to almost all plants/grasses/trees/molds. It's easy for docs to jump to a conclusion wrt to pets being the cause of allergies. I wouldn't blame Guido just yet until seriously examining the rest of your environment. And even if it *is* him, modern medicine has made it possible for many of us allergy sufferers to keep enjoying our pets.