You're mentioning at least 3 changes. I'd take it slow, and do one at a time. To do all of them would be overwhelming for any little one.
I used a night weaning method with my daughter, she was 15 mo, we still nurse during the day, but not at night. It worked VERY nicely, it wasn't traumatic. I guess DD was more ready than I expected her to be. It's called "changing the sleep pattern in the family bed", and it is SPECIFICALLY for night-weaning toddlers 1 and over. I'd suggest doing that part first. then give it a few (2-3) weeks and start the next change, whether it is binky or transitioning to a new bed.
For transitioning to a new bed I suggest to do it slowly. Putting a mattress next to yours first, and helping her fall asleep on it, putting her back on it when she wakes at night, and the more she sleeps soundly on it, you can start placing it further and further away from your bed, until you do (somethimes the hall) the next room. Other bed-sharers I've known have just gotten a toddler bed, had their DS/DD help decoreate it, get them familiar with it, start doing naps there, and then the child him/herself has wanted to sleep in the bed without much trouble.
the binky weaning. I don't have any first hand experience with binkies, but i know some people cut them, others set a date in the calendar and together every day remind the child that the binky will be gone in X ammount of days, count down, and then have the child throw away the binky...etc.
It won't seem as overwhelming once you break it down, for you or your DD. Just take it slowly and do what is right for you, when it's right for you.
The site for the night-weaning article is
www.drjaygordon.com, under attachement parenting (look to the left on the main page to find attachment parenting). and again, it is called "changing the sleep pattern in the family bed"
hope it helps.