I also agree that there are health problems specific to each breed. The yorkie breed does have several common health problems, but I would say the majority of yorkies don't end up having those problems. Lacy is 3 years old and didn't come from the best breeder and has had no problems other than luxating patellas which don't bother her at all. I doubt she'll ever need surgery on them. Other than that she's very healthy. I still worry about her if she throws up or falls off the back of the couch (which happened last night

scared the crap out of me...but she was fine)...but I'd be worried about any breed that I had if they got sick. I worry about my youngest cat because she's so clumsy - she fell off the table once and broke the tip off of her tooth while hitting her head... If you really want a yorkie, I wouldn't give up on getting one. You have to go through a lot of bad breeders before you'll find a good one - so you'd eventually find a great yorkie breeder that would offer you a health guarantee and health test all their dogs. Also, like I said, most yorkies don't have the health problems you'll read about. And if you get one from a great breeder that health tests their dogs and knows their lines, the chances of you getting an unhealthy dog is extremely slim.
I know you're enjoying your new puppy
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~Magnifique Yorkies~
Purchasing from backyard breeders, pet shops, and puppymills perpetuates the suffering of other dogs.
Educate yourself and buy from reputable breeders or rescue.