You can get own team pet in Wasteland 3.
If you tamed at least one of every type of animal companion you will get Menagerie Achievement.
You can only have one Animal Companion on your team at a time, it does not take up any space in the hero limit of other members of your team.
You need Animal Whisperer Skill to tame Animals.
Animal Companion Locations
Major Tomcat - Animal Whisperer 1 (or Cigarettes) - Unique Cat, location Ambush Site - +6% Crit Damage
Billy & Jean - Animal Whisperer 1 - Unique two headed goat, location Hoon Homestead - +0.1% Crit Damage. Double the Fun Achievement if he dont die till the end of game.
Polly the Parrot - Animal Whisperer 7 or Buy - Unique Parrot, location Bizarre Exterior - +5% Evasion
Cyborg Chicken - Animal Whisperer 1-5 - read more at: Cyborg Chicken Farm - will change in Poultron Follower.
Chicken - Animal Whisperer 1 - location Garden of the Gods - +3% EXP
Rabbit - Animal Whisperer 1 - location Broadmoor Heights near Patriarch Palace - +10% Initiative
Fox - Animal Whisperer 1 - location Arapaho Caravan - +3 Leadership
Cat - Animal Whisperer 2 - location Ranger HQ - +6 Critical Chance
Dog - Animal Whisperer 2 - location Ranger HQ - +0.1 Combat Speed
Mountain Goat - Animal Whisperer 4 - location Gett Family Homestead - +0.1% Critical Damage
Pig - Animal Whisperer 4 - location Warrens - +15 Constitution
Doe - Animal Whisperer 4 - location Machine Commune - +0.5s Sneak Time
Waste Wolf - Animal Whisperer 5 - location Bizarre Exterior - +5 Sneak Attack Damage.
Razorback - Animal Whisperer 5 - location Department of Energy - +2 Penetration
Stag - Animal Whisperer 6 - location Machine Commune - +10% Melee Damage
Growler Cub - Animal Whisperer 7 - location Aspen - +2 Armor
Bison - Animal Whisperer 9 - location Knox Bison Ranch - +5% Crit Resistance
Badger - Animal Whisperer 10 - location Massacre Site - +1 Downed Time