Hey there...we have a kitten and a puppy too. Although I've always had cats so I'm a new puppy person.
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But, in my experiences I can tell you that it is very normal for kittens to do this. Typically I've found that it means my kitten is hungry, and if there is food in his dish, he's just being picky and wants "new food" in his dish.
BUT there are other times when it's not the food. He'll run from his dish and follow me into the bathroom and rub on my legs and meow and purr. Once I pick him up he stops meowing and just keeps purring.
It's so fun to be loved by the kitty, but yes being woken up earlier then you need is a pain. What we've been doing is locking the cat outside of our bedroom with his litterbox. We do not let the kitty in until we are ready to give him attention.
Cats by nature, again in my experiences, do not sleep for long periods of time, they sleep a few hours on, want to play/get attention, and then sleep again an hour or so later.
As you and the kitten grow accustomed to each other, you'll get into a routine.