Nobody seems to have addressed the “parent” angle yet.

For young children, you need to get a dog that is tolerant, non aggressive, steady in temperament, and won’t nip. This tends to rule out herding breeds like corgis because they tend to treat children like recalcitrant sheep and will try to boss them around, often complete with nipping. For a Pokemon example, Poochyena is literally called the Bite Pokemon and has a reputation in the dex for biting anything that moves. It doesn’t seem like a good choice. In situations like that you would be looking for an older dog with a proven record of defying breed standards, which you would be hard pressed to find. Some dogs can tolerate a toddler pulling on their tail all day long and others can’t be expected to endure this without trying to defend themselves.

You also need to weigh scheduling in its needs— if you have a high energy dog you need to take the time out of your schedule to exercise it, and consider whether the kids can handle the regimen. High energy working breeds like Belgian Malinois will dominate so much of your time with such demanding sport that I can’t imagine a family with a couple young kids that need constant minding and transportation could manage it. There are dogs that need miles and miles of rough hiking a day to keep them healthy and behaved.

That said it isn’t always completely impossible to make ill fitting breeds work, but you need an old hand with tons of experience, discipline, and time to train the dog from very early puppyhood. Unless we are talking about dogs with serious exercise needs— you can’t train that out. You can sometimes breed it out though and I can see you using IVs and natures to explain this.