Obama said it yesterday - the criteria for a new puppy is:
(1) The new puppy must be Hypo-allergenic
(2) They want a shelter dog (but they can also go to a breed specific rescue)

And look what I found!!!!
American Hairless Terrier

http://www.dogbreedinfo.com/americanhairlessterrier.htm [1]

Basenji

http://www.dogbreedinfo.com/basenji.htm [2]

Bichon Frise

http://www.dogbreedinfo.com/bichonfrise.htm [3]

Bichon Yorkie

http://www.dogbreedinfo.com/bichonyorkie.htm [4]

Border Terrier

http://www.dogbreedinfo.com/borderterrier.htm [5]

Cairn Terrier

http://www.dogbreedinfo.com/cairnterrier.htm [6]

West Highland White Terrier

http://www.dogbreedinfo.com/westhighland.htm [7]

Wirehaired Fox Terrier

http://www.dogbreedinfo.com/wirefoxterrier.htm [8]

Yorkshire Terrier Dream's FAV!!

http://www.dogbreedinfo.com/yorkshireterrier.htm [9]

And more doggie breeds here:
http://www.dogbreedinfo.com/allergy.htm [10]