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The AKC, UKC and CKC set standard for the Rottweiler breed if the dog is to be shown in confirmation shows is that the dog must have a docked tail. It is common practice now with breeders to only dock the tails of puppies that will be used as breeding dogs/show dogs. Pet dogs normally have their tails left natural not only so that the puppy does not have to go through the unnecessary docking; but to distinguish the dogs from show-potential stock to pet stock.
The Rottweiler breed is a powerful, loyal companion dog that with the right breeding, socialization and training can be good with children. However, all three of those said before must be done to ensure a well-balanced dog. The Rottie is a large breed of dog that has a moderate to moderate-high prey drive and children are quick, loud and squeaky. Not saying the dog would intentionally hurt a child, but the dog could easily knock a child over without a second thought. A well balanced and well bred Rottie will have a calm temperament and lower prey drive. They will take socializing with children at a young age (as a puppy) easily and adapt to the changes children make over the years as they grow with stride, A well balanced and well bred Rottie will also be accepting of Positive Reinforcement training to learn the basic commands and how to respect children/people of all ages without any negative reactions such as dominance or challenging. All in all, if you acquire a Rottweiler from a responsible, reputable, and knowledgeable breeder that has healthy, well balanced stock and socialize your puppy with many different ages/types of children and how they act. Coupled with firm, but Positive Reinforcement training techniques then a Rottie will be a wonderful companion and loyal protector of the family, including the children.
If the puppies grow up together and get along now, they should be just fine as adults. However, if they are not neutered, then they could become aggressive towards each other later on in life. Get them neutered between 9 months and a year old. Discourage any aggressive behavior and make sure they go through basic obedience classes one on one and work with them together and separately so they know who to listen too.
It's not recommended to get two puppies, even if they aren't from the same litter. Research littermates syndrome to see if your puppies are showing any concerning symptoms.
A reputable and responsible breeder will have a puppy have their first set of shots at about 7 weeks of age. However, this is a question to ask your vet. All puppies need 3 sets of shots that protect them from illness' that can kill a puppy. Including but not limited to bordatella, parvo, worms, ect.
A basic puppy shot or the first set of shots includes Distemper, Measles, Parainfluenza (Given at 6 - 8 weeks), the second set of shots includes DHPP - Vaccines for Distemper, Adenovirus [hepatitis], Parainfluenza, and Parvovirus (Given at 10 - 12 weeks), at 12 - 24 weeks, the rabies shot is given and at 14 - 16 weeks the DHPP shot is given again.