Medievalist
They're alerting the household because they think they are the alpha who needs to protect the pack, and that is the problem.
ChristmasFluff explained it well:
Late to the thread, but a dog that is barking when people come in, is a dog that doesn't understand its place in the hierarchy - i.e. it believes it is number 1 and has to protect its 'owner'
The owner of a dog should be number 1, but so many loving dog owners don't understand this, and their dog is thus forced to be 'pack leader' by their actions. Hence barking etc
Dog owners who do not respect the nature of their dogs and do not provide their dog with the social environment that they need (i.e. the hierarchy inherent to pack life) are in fact being narcissists, projecting their own feelings about themselves onto the animal.
The dog has no time at all for 'member of the family' talk. That is projection on the part of the owner. To the dog, the family is the 'pack'. Living with humans does not change their nature or their needs, and they need the owner to be Number One, the alpha.
You can absolutely train your dog not to bark when the doorbell rings, or to bark just once and then stay back. You have to disrupt the association of the doorbell with anxiety, using positive reinforcement, treats, attention. Or you can create an association between the doorbell and the dog bed by use of treats and positive attention. You can practice daily with someone else ringing the doorbell while you work on the dog indoors.
It won't stop them from barking to alert to the presence of someone breaking in.
As for jumping around to 'greet' - you can stop that too with the command to heel. If they won't heel then you need to work on that too. Everyone is happier when the dog knows who is the boss.