Your definition of what makes a good pet is 'it's good with children'????
I don't know who that was addressed to but I can't imagine a responsible parent would choose a pet willy nilly regardless of how it could be expected to behave around children.
If you are choosing a pet whom you expect to take out and about to places frequented by children then you should also ask yourself whether it's good with children before setting out.
I don't know what picking up a pet has to do with ownership.
I had rabbits as a child and found they were easy to pick up.
The family cats could easily be picked up too.

Just keep your animal firmly in control and respect other parents and the job they do a bit more.
Nobody owes you any help in socialising your dog or allowing you to exercise the privilege of walking it, be it ever so well bred or well trained. If you are annoyed by the behaviour of children keep away from them with your dog.
If your dog has sore ears, you would be doing him a favour too.
I am actually aghast that you would choose to take him out at a time or in a place where his ears might be hurt. Respect your pet enough to not put him in a position where he might be hurt. Take care of him yourself and do not expect total strangers to know about his ears or whatever other problem he has. Be responsible for your own dog and do not expect others to be clairvoyant or to go out of their way to accommodate your privilege or your dog's health.
Your pov here is ridiculous and irrational. It consists of adamant insistence that everyone else owes you some duty when dog ownership has been a choice freely made by you in full knowledge of the nature of children, the area available to you to exercise your dog in and the problem your own dog has with his ears.
If your definition of a good pet is one that can always be relied upon 100% to never hurt a child then I don't think there is a single pet of any type in the whole world that would tick that box do you?
What a pet does or could do to my own child is something I myself take full responsibility for when choosing that particular pet.
When I choose to take my chosen pet out, however, I assume full and absolute responsibility for what my pet does to other people's children, including attracting them to me and to the pet, and with their safety and only their safety in mind I make my decision as to whether my pet is a suitable candidate to take out.
There is a huge difference between decisions I make about my own children and decisions I make that could have an impact on someone else's child. Because I value children greatly I choose to err on the side of safety and never endanger anyone else's child. Children are too precious for me to stand on my alleged rights and take a chance with the safety of anyone else's.
100% safety?
I have had a fluctuating population of goldfish in a tank for many years. They are a complete nuisance but imo pretty safe.
I had a cat whom I chose not to declaw and who stayed indoors at all times. My family and I were the only people affected by her claws. She was a great pet and companion to the DCs nevertheless. But I did not expose others to any danger posed by her.
Again, my children, my decision and my responsibility.
Other people's children -- my responsibility too and my decision must reflect concern for them above all other considerations just as it does when I am driving.