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Annie does push her way around the house, blocking the other's way in and out of the doorway. She is very bullish with them. I don't know how to make it "even"...like who gets to go outside first?? who comes in first?? seems then I am encouraging Pippin to be top dog.
Rather than just opening the door and letting Annie gallop inside, teach her "Wait". When you open the door, say "Wait" and don't release her from her wait until she gives you eye contact. If Annie is truly dominant, the other dogs won't even come in before she does, so you needn't worry about who comes in first. To dogs, it's really not that big of a deal. Besides, if you teach "Wait", Annie realizes that YOU control the situation and that she should have no reason to aggress. FYI, my dobermutt, Ivy, is the bully. I always make her wait before she can come in. However, because Ivy is truly dominant over my greyhound, my greyhound will wait with Ivy, even though I never taught my greyhound the "wait" command. Alternatively, if you're really concerned about who comes in first, though, teach all the dogs "Wait".