Entrepreneur Magazines Start up series. Start your own Pet Sitting Business. Your Step by Step Guide to Success. This comprehensive handbook, part of Entrepreneur magazine's highly successful StartUp series, guides you through the steps of setting up and operating a pet-sitting business, covering both the business fundamentals and the specialized knowledge required for animal care and handling. Start Your Own Pet Sitting Business focuses mainly on dogs and cats, the most popular pets, but also covers barn animals and exotic.