So, the Uber Pets:
NOTE: If you use the 'Change Traits' LTR, you get to pick five if you really want to,
Cat:
Start with: Friendly OR Independent OR Shy, Genius, Proud (If Wanted), Quiet
Train: Adventurous, Hunter, Hyper, Neat, Non-Destructive, Playful (If Wanted)
Dog:
Start with: Aggressive OR Friendly AND/OR Independent AND/OR Shy, Genius, Hunter, Quiet
Train: Adventurous, Hyper, Likes Swimming, Loyal, Neat, Non-Destructive, Playful (If Wanted)
Horse/Unicorn:
Start with: Brave, Friendly, Genius, Obedient, Quiet
Train: Agile, Fast, Neat, Playful (If Wanted)