We have two American Pitt Bull Terriers, and I have a 15 mo and I'm 8 m pg. Our first pit was a rescue. We were not looking for a pit bull, just a dog but this one was in a very crappy situation, and the guy was selling her for party money for the weekend. Before deciding to buy her, we did a LOT of research... Wow, if there is one breed out there that I have SO MUCH empathy and compassion for, its Pit bulls. Most people think pitbulls are viscous dogs, vicious to humans, etc. They are not. They have been selectively BRED BY HUMANS to produce dogs who will fight another dog to death, no matter how hurt they are, because that is what their owners asked of them. This characteristic is called "gameness." ITs so cruel that humans would use these dog's big hearts and need to please in this way

These dogs are DOG AGGRESSIVE. In dog fighting, the two opponent handlers actually trade dogs, and wash the opposing dog down before the fight. This is to ensure the dog has not been sprayed with any kind of deterrent that would make the other dog not want to bite him. Point being, these dogs are dog aggressive, not human aggressive, by nature.
The reason I'm telling you this is because as a dog owner, you must be aware of the characteristics of your dog's breed, so you know what you are dealing with. Spaniels have extremely an extremely high prey drive. You should do some research on prey drive and children. Also, talk to a behavioralist if you want further information on your dog in particular.
Anyone who says you have to get rid of any dog you don't trust is WRONG. Wrong because you should NOT EVER TRUST any dog with you children. Problems happen because dogs are trusted 200% around their children, especially when the breed is not one people consider "vicious." We use baby gates and fences to keep our son and dogs separated. This is not stressful for us. We know its what we do while the children are little. We also keep our dogs separated from each other because we know the breed, and would not want either dog getting hurt. Wrestling is great exercise for them, but the nature of the breed is that is a disagreement ever occurred, neither one is likely to back down, because they are game-bred.
Would you get rid of your child if he/she bit other children? Or would you, knowing your child, keep your child from getting into those situations, until the phase past? What is going on with your dog will likely be resolved when you child is older and has more respect for the dog's boundaries. Also, If your dog is not enjoying being chased by your child, it isn't fair to expect the dog to just sit there and take it. The dog is communicating a need to you. It is up to you to resolve this for the safety of your dog and child. My dogs did not particularly enjoy my ds's presence until recently. DS can pet them and give them treats now (with our help, of course). They have also learned how to walk past him slowly... in the past they would run past him because they were unsure of him, and he would get knocked over by accident, or get hit with a tail (pitbulls have very strong, whiplike tails lol). It's a matter of keeping everyone safe so they can all grow and learn together
Don't give up. Just get more informed and get a plan together

I also disagree with the death penalty for animals and people. I think a lot of people who totally disagree with the death penalty for human violent offenders haven't really though it through for dogs. The argument that its for the safety of others applies to both situations, yet we have different morals regarding both animals (yes, humans are animals!!)
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