This is a good time to get rid of it, and your biggest obstaclebelieve it or notis your own fear. I've done this twice (alas): Ds at 3, and dd at 2.5. Is there not something a bit more affordable that your dd wants ? I found that both kids got such pride from chucking their dummies into the bin. I praised them again & again, suggesting that we tell everyone: grannies, grandpas, teachers, aunties, uncles, etc. The present, thus, became secondary in importance--which pleased me, so I didn't feel it was all about bribery.
LookI won't lie. The first 2 nights are difficult (which is pretty standard, evidently) but soon their sense of identity shifts and they don't even see themselves as a child who needs/desires a dummy. They get a bit been-there-done-thatdummies are for babies.
I do think, though, it would be helpful first to limit dummies to nightime only (be committed about it; hide dummies in high places, for example, so none can be found during the day). It will go more easily that way.