Since you have had some major transitions lately, I would go slowly with things. Get her bed and let her pick out bed linens and then put the bed together. Talk about the bed during the day and say,"Where is your bed?" Get her to associate that the toddler bed is her bed, but don't make her sleep in it right away unless she wants to, otherwise just talk about it for a few weeks and then do it. Also, do the same thing with her room if you are going to move her out of your room. I would break it into two steps: get her to sleep in her bed in your room and then move her bed into her room.
Make sure she is really awake when she wakes up before you go to her. My son (2 years old in a crib in our room) sometimes cries out in his sleep but I don't go over to him unless he stands up and he usually goes back to sleep.
Bedtime routine is important, maybe add music as the last step. The Putamayo Kids Dreamland CD is awesome. We call it my son's "sleepy songs" and he asks for it to be played as soon as we get into the room to go to bed.
Get her to fall asleep in her bed or playpen instead of your bed. Make sure she is tired (don't put her to bed too early) and do the routine where you spend time with her being in her sleep space.
If she wakes in the night, put her back in her bed.
The other thing you could do is just co-sleep and everyone stay in your bed all night. You probably don't want to do this with the new baby coming, though.
We co-slept with our son until he was about 20 months old. It was great until just before 18 months when he started moving around a lot and kicking his dad in the head. He was also still nursing to sleep, which worked great until he kept waking up when I tried to pop him off. We were in the middle of an international move and living in a hotel so it was definitely not the time to try a crib or separate bed, but I did transition him away from nursing to sleep and we developed another routine where he would nurse and then I would sing to him. As soon as we got into our apartment and our stuff arrived, we put his crib together (in our room) and started referring to it as his bed. We talked about it for a few weeks or maybe even a month before we tried to get him to sleep in it. The first night we tried to get him to sleep in his crib, he slept in it all night long with no problems and he had never slept anywhere but in our bed before.
There is a room with his clothes and diapers that is also filled with our exercise equipment that we refer to as "his room". Every time he needs a diaper change or change of clothes I say,"Go to your room". We are laying the groundwork for him to be in his own room. We aren't moving him yet, though because the apartment is huge and the other bedrooms are too far away and in use for other things. Also, I am pregnant and we are going back to the States for probably 5 months so I can have the baby and he will not have his own room there so I don't want to make the change until we can make it permanent. I will probably do it after we get back from the States, but in the same slow way that we got him in his own bed.
You have plenty of time before March to make the transition slowly. If you try to rush, it will probably fail and take more time in the long run. Just be patient and consistent and things will work out eventually!