Needing some mom of toddler advice

Hey ladies... really need some advice on what I can do differently with my toddler. Two things... her behavior and her sleeping in her own room in her own bed.

So my daughter will be two in December and she’s at that terrible two stage where she has these temper tantrums. Falling out, she also will scream if something gets taken from her or if I’m not moving fast enough to get her food, or if she wanna go outside and I’m not ready yet she has a fit or when we in the car and she’s in her carseat cries and screams because she’s in her carseat. The other thing is I cannot get her to sleep in her room. I even got a night light that circles around the room with different colors and shapes, she cried so bad last night we checked on her every 10 min and told her it’s gonna be ok and she just cried and cried. She ended up going to our bed while we were in the living room and just falling asleep in our bed. We didn’t even know she was in our bed until we went to lay down. Any advice moms ?