If he's an older dog, he's probably used to his name; however, changing it isn't out of the question. If he's from a shelter, they may neglect to tell you that he has a temporary name assigned to him by staff. If he's from a breeder, he'll come to you with a long name, which you may want to shorten, or change. And if he's coming out of an abusive situation, a new name may represent a fresh start. But we're lucky: dogs are extremely adaptable. And soon enough, if you use it consistently, he will respond to his new name.
Unless you plan to keep your dog outdoors--and few of us do because it's not recommended--you'll need to teach your dog where to eliminate. Therefore, house training (also called housebreaking or potty training) is one of the first things you need to work on with your dog. Crate training can be a very helpful part of the training process. This includes house training as well as many other areas of training:
When your dog knows the release cue and how to sit on cue, put him in a sit, turn and face him, and give him a treat. Pause, and give him another treat for staying in a sit, then release him. Gradually increase the time you wait between treats (it can help to sing the ABC’s in your head and work your way up the alphabet). If your dog gets up before the release cue, that’s ok! It just means he isn’t ready to sit for that long so you can make it easier by going back to a shorter time.
Choose your dog's name wisely and be respectful of it. Of course you'll want to pick a name for your new puppy or dog that you love, but for the purposes of training it also helps to consider a short name ending with a strong consonant. This allows you to say his name so that he can always hear it clearly. A strong ending (i.e. Jasper, Jack, Ginger) perks up puppy ears—especially when you place a strong emphasize at the end.
Help him relax when he comes home. When your puppy gets home, give him a warm hot water bottle and put a ticking clock near his sleeping area. This imitates the heat and heartbeat of his litter mates and will soothe him in his new environment. This may be even more important for a new dog from a busy, loud shelter who's had a rough time early on. Whatever you can do to help him get comfortable in his new home will be good for both of you.
New puppy owners often make the mistake of endlessly worrying about finding the right accessories, puppy treats, or bed. They spend little or no time thinking about how or what they will teach their new puppy. Yes, a puppy needs nutritious food and a safe, warm place to live, but another equally powerful and important biological necessity is the need for a strong pack leader.