So we've decided to take the binky away from Charlie. It's been almost 2 weeks now since he has not had it. I would tell him "Binky go bye bye!" and pretend to be looking for it under his crib (which is where it ends up most of the time!).
He's been obviously crying a lot more during bedtime but eventually he falls asleep. It's just a matter of how long "eventually" is. I'm going to miss his little face with his binky in his mouth though: