Pacifier. Bink/binky makes me cringe; I'm not big on baby talk, and other names seem like baby talk to me.
It's not baby talk though it does sound a little juvenile.
FYI: "Binky (with a y) was first used in about 1935 as a trademarked brand name for pacifiers and other baby products manufactured by the Binky Baby Products Company of New York. The brand name is currently owned by Playtex Products, LLC as a trademark in the U.S. (and a number of other countries)."
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