You are doing the right things. Three year olds are learning they are seperate people from their parents and this leads to outburts and pushing the limits of your nerves.
When she acts up, give her and YOU a time out. Put yourself in a different room after you've placed her in time out. This gives you a few minutes to breathe, calm down, and collect yourself in case her tantrum is not quite over when you go to talk to her. More than once, I have had to do this, I have 3 girls so I've gone through this stage 3 times, and it helps you keep your sanity.
Hang in there, be persistant, and as the other poster said your daughter will see that throwing a fit won't get her anything. Though she may still have outbursts from time to time, she is a child after all, they will be shorter.

I feel like you are doing the right thing by taking things that she likes away from her. The 1 thing that helps this process is not giving in to her. My daughter now 7yrs old would do that as well when she was 3yr old and I started really following thru with putting her in her room and slightly closing the door.
She would yell and scream and come back out and I would kindly tell her NO you will OBEY mommy and put her back in that room, and I tell you honey after about 5 or 6xs with me being consistent and not giving in, she cut it out. She realized that I was not going to give in and she had to listen to what mommy says and when she caught on it made HUGE difference. It also has helped her in school. Your children have to learn at a very young age consequences and it makes a world of difference.
STICK to your guns. It is the only way that it will work. Do not put her in the room and pick her up 2mins later and baby her she will never stop and you will be listening to her instead of the other way around. Good luck and blessings to you.

KMG6871