Take all the bottles, throw them out. They are gone, you can tell her they all went "bye bye", out of sight and after a very short time out of mind. If she knows you will cave, knows they are in the house she will want them.
You shouldn't have to warm milk either, it will just take time of introducing it daily. She shouldn't be having much juice but once a day and not a lot of water. At 14 mos she should be getting the majority of her calories, fat and nutrition from solids and milk with meals, not needing it to drag around the house or for comfort. Not having bottles for feedings any longer. It is just a habit for her now and she needs you to be strong and put an end to it. I have seen kids at three still carrying around a bottle and that is the parents not the kids.
Bottles become dependencies like pacifiers and cause decay on teeth, ESPECIALLY with juice and milk.
Throw them away, seriously. Then you won't be tempted and they are gone out of the house.
You daughter may have an issue for a day or two, but stand tough like the previous poster. At 14 mos her attentions span is short lived and if you tell them they are gone, she will accept it,promise.
At the year mark with both of my kids I threw the bottles away, bought strawed cool kid cups, they picked some too and they loved them. Straws are better then sippies on their teeth and for speech. Neither of my kids asked again for the bottle once I just told them "all gone"..!
They liked sippies too but the strawed cups were the biggest hit.
She needs to give the bottle up and you have to be the one to enforce it.