Dogs and small children are a lot of work, as others have said.
When I was little, and also when my nearly four year younger sister was born, my parents had dogs and cats.
We children were taught from the time when we started crawling never to go near the dogs when they were gnawing a bone or eating their dinner, or approach them when they were in their dog baskets
The dogs were trained not to snap at us - my father re-homed an Alsatian bitch that took exception to my inclusion in the family, so if things go wrong you will be faced with having to re-home the dog.
Cats need some place out of toddlers' reach. My mother's cat was two years older than me, and my earliest recollection of him, is a picture as clear as day in my memory.
I am stretching up as high as I can to touch the cat who is sitting on top of a chest of drawers. To my fury, I cannot reach him, as my extended finger tips only reach the second top drawer of that chest - and the cat is grinning at me from the flat top of that piece of furniture.
I have a later memory of me, aged, five, sitting in my sister's play-pen while she crawled happily round the dining-room floor. I was reading a comic aloud, to two cats and a fox terrier - all three sitting out of harm's (little sister's) way in the play-pen beside me.
You can have pets and small children together, but it takes time, patience and rules. As soon as we could crawl we also knew not to touch Daddy's medical bag.
If you ask me now at my present age of 69, why that bag had to stand on the floor, instead of being placed out of our reach, I cannot give you a sensible answer. I never did ask my parents about it.