Hi I'm Dr. Friend. I'll help you with an answer today.
First, you should know that there is no true "hypo allergenic dog". Depending on your sensitivity, it is possible that any dog and every dog will cause you to react. I can make some recommendations to decrease this as much as possible though.
Between the Airedale and Portuguese Water Dog, I would strongly recommend the PWD. They are actually very popular where I work, and every one of them is very sweet (so far!). There are always exceptions to the rule, but PWDs tend to be very personable and Airedales tend to be high strung and snappy.
With these personality traits in mind, the PWD is much better with children. As far as an apartment dog, however, both are large and energetic. Unless you will be able to get the dog outside for long walks/play at the dog park/etc on a daily basis, you may be better off choosing a small breed dog.
Some small breed dogs such as the Bichon Frise or Poodle could be a better choice if regular exercise will be impossible.
Aside from breed choice, regular bathing will be important to reduce circulating antigens as much as possible. You can also consult your physician regarding which antihistamines might be a good choice for yourself.
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