My nephews still had binky's at 2.5. We had been starting at two telling them that they could only have them, in the car, at nap/night, or for comfort after a bump or something, but no more walking around with them constatntly. They did really well and we would get out of the car and they would walk up and put them in my pockets "to hold".
When they were use to only limited exposure, we started telling them all about "binky land". How when little babys are born binky land sends them a binky to use. Then when they are big kids how the children send the binkys back and then binky land will send them a new big kid toy to replace it. We all (whole family) told this story consistantly.
On their third birthday I brought over an envelope and we sat and wrote a letter to binky land, we said we were returning the binkys for the new baby's and we would like ...... in return. Then the letter and all binkys were put in the envelope.
A couple of days later what should appear on the porch but two new toys for two "big boys".
Of course my now eight year old nephew (younger of the twins and the most dependant on the binky) tells me how I was so mean to send all his binkys away.

He did chew on his shirt collars for a couple of years after and still has chewing issues like destroying straws and biting nails, but I do this and didn't have a binky so I think he really just has an oral fixation. He was the smallest and sickest of the twins and he was the hold out. The other twin probably would have gotten rid of his binky at two but brother still had one and he wanted the option as well.
Anyway we really did have an easy transition with the weaning then the story. Seemed easier to just take it slowly then to do it cold turkey. However we did do bottles cold turkey at one....sippy cups only at that point. That worked as well. But we had an easy replacment and I don't know that it would work as easy with binkys. I guess it just seemed that the the one twin was so in need of that comfort that cold turkey seemed like it would be too hard on him.
I guess it really depends on your daughters personality and dependence. Good Luck!