(cats) difference in behavior from dogs ?

I'm getting a kitten (4 months) and I need some advice about how they are different from dogs (which I had).

1. Dogs should view you as a leader of their group

Ok about this one I heard that cats are lonely hunters so they probably won't do this but, do you somehow need to assert your dominance so that the cat knows you're his boss ? (like you do with dogs)

1. If a dog does something wrong (ex. biting you), you should punish them (ex. shouting NO at them, maybe slapping them), what about cats ?

Also unrelated to behavior, we have a house with a medium sized garden, I would like to let her go outside whenever she wants, we have a fence that a cat can fit through so she will likely get out, how long should I keep her only inside until I let her outside the first time ? Also, how long should I supervise her, knowing she will likely explore outside the garden when left unsupervised ? We're at a dead end street = not that many cars

submitted by /u/sudolake
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from Pets https://www.reddit.com/r/Pets/comments/mjkfz1/cats_difference_in_behavior_from_dogs/