Children vs dogs/cats

I've heard from a few couples of how when a baby comes along, suddenly pets (usually cats and dogs) are seen as threats to the new baby.

“Car fur will cause allergies to the baby”
“What if doggy bites the baby?”
“No time to look after doggie AND the baby”

Soon, it’s a matter of time, these pets are either being given away or being abandoned.

Sigh. And to think that these owners used to call themselves “Daddy and Mummy” of their pets. Some even claim that having a pet if like a “prelude” to having a baby. Yeah right… and you give away your “first born” when the real deal comes along?

I recognize all these issues and to this date, I keep asking myself whether Im ready to have a dog or even a cat, esp when my new place is ready. Or should I just have a baby 1st? Just take my baby as a pet loh?