So the most reasons for not holding a pet in my opinion are health issues and spare time. I don't need to explain, that there is no need of a pet, if it makes you sneeze the whole time, nor should you have a dog for example, if you're abroad the whole week.
But a pet creates a whole new environment in your space, new scents, new tasks, new duties. Pets are benefiting health development for the younger ones of us, teaching them responsibility and empathy.
Exactly, don't get a pet if it inconveniences you. If you have children, you're probably already inconvenienced and a pet will be good for their development.