Do I really have to have kids? I feel like I would be a bad father.
What would you rather be?
I like small animals more than children.
If you don't think you would make a good father then maybe you aren't ready. If you are ready you can always decide to have kids later.
I just don't want to have children.
That's understandable, some people simply don't feel the need to have children. If you like animals so much you should look into becoming a veterinarian or something along those lines.