HELP! Can anyone tell me about mini bull dogs?

That whole thing screams BYB. I'd stay away from that "breed" altogether. By "precision" they mean that they have taken the smallest, sickest runts from previous litters, and bred those abnormally small dogs to create even more sick runt dogs. If their sires and dams were perfect, they'd be registered and titled champions with AKC or Canadian KC. They would have been tested against the common genetic flaws, defects, and health problems common in standard Bulldogs.