How to Make Money Dog Sitting. If you love animals and would like a way to earn some extra money on the side, pet sitting might just be the perfect fit for you. After all, no extensive training or certifications are required.nd if you don’t mind branching out to other pets, you can make a living watching nearly any type of animal through Rover. The site has arranged pet sitting for all kinds of animals including goats, lizards, birds, turtles, and fish.