I have no kids. I do help my teacher with his kids classes and he has taught me a lot. There has been some good advice in this thread so far.
Kids will test boundaries and they will find every way possible around a rule, I know, I was good at it
However, nice you might want to be and however much you may feel that you should be kind and understanding there will come times when you might have to go old school. The popular view now is that physical punishment is not socially acceptable, I personally say bullshit. Should it be used often, no. Should it be the default response, no. Should it ever cause actual harm to the child, no. However as someone who had my fair share of whoopins I will say that sometimes I deserved it, and sometimes that was the only thing that kept me in line. Now I am not saying that you should use physical punishment in this case. However sometimes you have to be hard to get results. Other times you have to be easy. Just like good taiji, its a blending of hard and soft approaches that gets the best results.
Choices are good, but all choices have consequences. Good choices have good consequences, bad choices have bad consequences. As a parent you get to decide what those consequences are. If good choices have good outcomes but bad choices have indifferent or even favorable outcomes then the child will have incentive to do the good things but no incentive not to do the bad things. As an example, daughter runs around and won't get dressed. Since she won't get dressed she gets offered a reward for doing what you ask, you sing a song. So if she gets dressed without you asking, she gets no song. If she misbehaves first, then behaves she gets a song. The bad behavior will indirectly be reinforced.
More than likely your daughter morning antics are like a game to her. She is playing a game where she sees what she can get away with. If you make it to where it is not a game, then she won't want to play. Punishment of some sort might be the only way to get the initial response you want. If you have to punish her in some way, maybe no breakfast, maybe go to class in her PJs, maybe something else; the next morning you can tell her that is she gets ready without misbehaving she will get something for it. This shouldn't be a standard thing but let her know that if she behaves well there is rewards and if she behaves badly there is punishment, or negative consequences. Children need authority in their lives and that authority should be consistent, fair, merciful, and just. A too relaxed of an approach to authority can lead to problems, as can an overwhelming authority.
I am at an age where some of the people my age were raised with a more firm approach and some were raised in the very emo everything is ok approach. The kids that I help my teacher with in class are mostly of a more lenient approach and it is apparent. There are definite problems with the firmer and harsher approach if taken too far but there are also problems if the other method is taken too far. Kids that cannot accept healthy criticism, that cannot handle healthy competition are two examples. Everyone wins sounds good in theory but it isn't true in life. Kids don't have the mental toughness that they did when most of us here on RSF were growing up.
It is no coincidence that Buddhism has its Middle Path, Kaballah its Middle Pillar, and Taoism its Taiji. Just like in kung fu practice you can swing between being too hard, to too soft, to aggressive to not aggressive enough, etc.; there is a swinging in culture that goes from one side to the other. You have to experiment and find the best way for you and your wife to walk the line between too much discipline, and not enough, and between too much touchy feely emo stuff, and not enough. You obviously care a lot and are trying your best so I know you will do a great job in the long run. I hope I don't sound too preachy for not having a child of my own but hopefully my perspective can help you find your own way. Good luck.