Traits are very important, as each additional Trait increases the value of your Unique Breedable.
Here is how to count them:

Fur: +1 if not "Basic" or "Basic(R)"
Eyes: +1 if not "Basic" or "Basic(R)"
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Multi Eyes: +1
Left Eye: +1 if not "Basic" or "Basic(R)"
Right Eye: +1 if not "Basic" or "Basic(R)"
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Ears: +1 if not "Normal"
Size: +1 if not "Normal"
Physique: +1 if not "Normal"
Birthmark: +1 if not "None"
Aura: +1 if not "None"
Speed: +1 if not "Normal"
Accessory: +1 if not "None"

UB Chimpanzees can have a maximum Trait count of 11

Fur: +1 if not "Basic" or "Basic(R)"
Eyes: +1 if not "Basic" or "Basic(R)"
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Multi Eyes: +1
Left Eye: +1 if not "Basic" or "Basic(R)"
Right Eye: +1 if not "Basic" or "Basic(R)"
------------------------------------
Ears: +1 if not "Normal"
Size: +1 if not "Normal"
Physique: +1 if not "None"
Birthmark: +1 if not "None"
Aura: +1 if not "None"
Rideable +1 if showing
Silverback +1 if showing

UB Gorillas can have a maximum Trait count of 11

Fur: +1 if not "Basic" or "Basic(R)"
Coat: +1 if not "Basic" or "Basic(R)"
Face: +1 if not "Basic" or "Basic(R)"
Eyes: +1 if not "Basic" or "Basic(R)"
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Multi Eyes: +1
Left Eye: +1 if not "Basic" or "Basic(R)"
Right Eye: +1 if not "Basic" or "Basic(R)"
------------------------------------
Tail: +1 if not "Basic" or "Basic(R)"
Birthmark: +1 if not "None"
Size: +1 if not "Normal"
Personality: +1 if not "Normal"
Gleam: +1 if not "None"
Gloss: +1 if not "None"

UB Capuchins can have a maximum Trait count of 12