I initally became interested in Yorkies because they are almost allergy free, and I am allergic to everything.
Before your doc decides that your dogs are what is making you itch, make sure you tell him what kind you have. I go into sneezing, coughing, eyewatering, itchy spasms if I enter someone's house with a dog or cat. Yet I can bury my face into Syd and never have a sniffle. I would see if some allergy medication helps with your itching.