How To Properly Discipline A Kitten?

I keep reading that kids need to be shown some form of discipline like spankings or time out, but I’m not sure how I would go about doing this with my kitten. She is very sweet and loving. She hasn’t done anything wrong except chase my new dog (big mistake!), try to get on the couch (she knocks over her food bowl while eating!) and gets really excited when she sees me coming down the stairs because she knows it means playtime.

Thanks for any advice you can give!