Puppies expect no less. Babies outgrow your lap in five years. Puppies outgrow it in five months. Babies go for a walk in a stroller. Puppies, when they will walk, go out on a leash.
Babies sit in carseats, well strapped in and immobile.
If you are smart, puppies sit in car-cages. Mine rides in my lap. Babies go in play-pens. Puppies go in cages. Babies can ride on airliners.