Yes! Cold turkey! As soon as a child can sit up, hold a bottle on their own and tip it back then it's time for a cup. She may go a few days of drinking much of nothing, but that's ok. Do not offer juice until she accomplishes drink milk from her cup at all three meals. Once you know she will drink milk fine for breakfast, lunch an dinner, then you can add juice at morning and afternoon snack. At any time she does not finish or drink he milk at one meal, she must finish it or have a cup of milk at snack, since milk consumption is more important than juice or other drinks. She'll eventually drink as she gets thristy. Her stubbornness won't outlast her thirst, no matter how days it takes, lol. She will get some fluids from foods. If you're concerned about the lack of calcium just remember it's only for a day or two, but you can always offer cheeses and yogart.
K. B
mom to 5 including triplets
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*I have to add that the child needs to find "comfort" from other sources rather than sucking on a nipple. Getting comfort from a stuffed animal or a human being would be much better than sucking on a nipple at such an age.