you appear to want breeds, not kinds.
Kinds of dogs are working dogs, sporting dogs, hunting dogs, terriers, toy dogs, etc.
Anyway, it would have been much faster to google dog breeds -- you'll get many many hits.
I'm sure you've heard of
poodle
chow chow
beagle
dachshund
basenji
xoloitzcuintli
and many others
What are three kinds of dogs?
Chihuahua
Husky
??
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