Hi Kimmy and Kathy,
Well, my middle daughter's middle name is Emma, does that count?
Now to your questions. First, redirection is definitely the best way to go at this age because it is all about trying to assert her independence as well as being frustrated that she can't do what she wants. It is also connected to learning to walk. As babies become much more mobile, they realize that there are all sorts of things that they can do which don't involve mom, and they want to do them all right now! So when you are somehow restraining her (changing table) or preventing her from hurting herself (window seat etc) she experiences it as a chance to try and rebel, if you will. A couple of things to keep in mind are:
*Really pick and choose your battles--try and say no as little as possible, reserving it only for real safety issues. At this age it is not about "behavior management"
*Don't worry about the tantrums becoming an issue as your daughter gets older. Tantrums at this age are very different than older child tantrums and require a different response. If she's doing it at three or four, it is more about trying to get her way and should be dealt with accordingly when appropriate.
*Try and offer an appealing alternative when you have to redirect and you will be less likely to get a tantrum
*Don't give in to the tantrum or you will end up with a bratty older child--stick to your guns but do it as gently and smoothly as possible.
Now to biting--it's really a similar issue--assertion of independence and frustration in a child that doesn't yet have the words to express herself. Please, please don't ever bite back to "teach her a lesson", it will backfire and is cruel. Sometimes it's also just a playful experimentation with new teeth. My feeling is that ignoring it is the best way to handle it. If you have a huge reaction, she will know that it's getting to you which is what she wants. If you ignore it, or redirect her, it will quickly lose it's power and she'll become bored with it. Biting at this age is absolutely unconnected to biting in older children. When a child of about 2 1/2 or older bites it can represent a behavioral problem or even frustration over a language delay. This should not be ignored as the underlying issue may be more serious.
I hope this helps you with your energetic and independent girls. And don't forget, aren't these the very traits we ultimately want our daugters to have?