Don't lay on the floor with the dog, especially with a dominant puppy. Making it clear in her mind that the floor is for dogs and the chairs/couch/etc. ifs for people will make your job much easier over the next 6 mo.
I don't agree with this at all. The puppy's not going to understand or care about this. If you don't want her on furniture, never let her on furniture and praise/reward her when she lays or sits on the ground near you when you're sitting on the couch or something. My family has two couches and my dog's allowed on one and not the other and she knows that because we trained her to only go on one.
If she sees you on the ground, she's not going to think that she's dominant. The dominance theory is false. It's a desperate attempt of humans developed in the... I believe 40's to explain everything dogs do with one convenient explanation. It's outdated and if it weren't for Cesar Millan, people wouldn't be using it anymore. Dogs DON'T think like that.
If she's in the living room and you go in the living room, she's not going to think she's dominant over you just because you went to the same room she's in.
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