B.H.
my son was 3, when i knew i had to get rid of the binky.
I cut the tip off his binky(recomendation from peditrician) and within the week he had no interest in it. We explained it was for babys and broken. The first day without it was the worst, but not terrbile. He whined but i offered him his broken binky and he wouldnt take it. after a couple days he even quit asking.
*make sure to check the tip after you cut it off that theres not crumbing pieces that could choke.
Also turn the house upside down looking for any lost binkys so he doesnt find one he hid or lost.
Best of luck to you!!!
** Im getting ready to take my 2 year olds away, same way!!