What are different names for people who study or care for animals?

There are veterinarians and zoologists, to start. Many animal scientists have more specific fields, which all have names.

Zoologist
Veterinarian
Aquarist
Zoo keeper
Veterinary technician
Wildlife biologist
Conservation biologist
Outdoor recreation planner
Animal refuge or shelter manager
Wildlife agent
Pet therapist
Wildlife photographer
Animal trainer or handler (especially dogs and horses)
"Cruelty-free" products manager
Animal control officer
Volunteer coordinator for an animal agency
Humane investigator
Wildlife officer
Environmental lawyer
Environmental educator
Ecologist
Fish and game warden
Ornithologist
Conservation and wildlife manager
Writer or editor of books about wildlife and natural history
Animal rights advocate
Farming reform advocate
Outreach coordinator for an animal/wildlife program
Zoo or aquarium employee
Nonprofit conservation organization employee (for example, Friends of the National Zoo or World Wildlife Fund)
Animal protective agency employee
Department of the Interior employee
National Park Service employee
Fish and Wildlife Service employee
Fishery and wildlife technician
State conservation agency employee
Ecotourism guide

https://nationalzoo.si.edu/education/wildlife-careers

People who study butterflies and/or moths are called lepidopterists.
https://en.wikipedia.org/wiki/Moths

Pet psychics

http://www.petperceptions.com/?gclid=CJOOk6r-2oYCFTV2Ggod5gHd4w

zbeckabee you are a lifesaver those are exactly what i was looking for. Thanks

zoologist