Kids love animals naturally, and one day you are very likely to hear the inevitable cries of, "Oh can I keep him!...Pleeeaaasse!!!
I strongly recommend that children have a pet of some sort. There are many important life life lessons that they provide.
Respect for life - Nurturing something that is dependent on your care.
Responsibility - Pets require maintenance, ranging from minimal to considerable. They need cleaning, feeding, exercise, and social attention.
Compassion - loving a different life form teaches to love other people, who may be different.
Role models - Animals have no malice. When an animal does harm, it's for pure survival, nothing else.
But wait...I'm just not an animal person!"
When you see the how much delight the pet brings your child, you will appreciate and value the animal's contribution to their happiness. Giving such a precious gift will also create a deeper bond with the parent.
"Ok you sold me! So which animal should I choose?"
Here is a general comparison of the pros and cons of the most common household pets.
Summary
Some pets require a great commitment, like dogs, while others need much less, like hamsters, but either way, any animal that you take on, is your responsibility for the rest of its natural life.
Pets can bring children indescribable joy. But do your research and make an informed decision which pet fits your situation best.