Question: What is one way to make up a creative nickname?

Answer: Take any cool adjective and add it to any animal name that you like.  

Examples of adjectives are:
Gleaming
Gorgeous
Enchanting
Beautiful

Fun nouns to use are:
Stallion
Chipmunk
Cheetah

Mix them up and we get:
Beautiful Gleaming Cheetah
Enchantingly Beautiful Chipmunk
Gorgeous Chipmunk
Enchanting Stallion