C.C.
I agree you should not try this at the same time as you're moving. That will be hard on her, and by extension, you.
However, when things have calmed down, just cut the tip off. It's the easiest way, and is not traumatic for the child. My daughter was a binky addict (to the point that we had an entire drawer of them in the kitchen, no joke). She used them so much her palate was being deformed. We HAD to get her off the binky immediately because of that, and so on the advice of some Mamapedia moms, I went ahead and cut the tip off of each binky. She stood at the binky drawer putting each one in her mouth, sucking on it, and discarding it. Finally she looked at me and said, "They're all BROKEN!" She wandered off and never asked for one again. I was totally shocked that it was that easy. I've heard from other moms that they had this same experience, so it wasn't just me.
Good luck!