As for the cake: get a vegan one, problem solved. Don't know where you are, but most major cities will have a good vegan catering service. Even if not, maybe your caterer will be willing to experiment. I simply use soy milk instead of cow's milk and there you go.
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As for the champagne, well....my opinion is probably not a popular one, but I have had a drink or two on several occasions and then BFed my baby. I really do not think it does any harm on the odd occasion, if you limit yourself to one or two. Even KellyMom and other BFing sites say you can have one glass no problem. If you nurse right before your first glass, and eat right after your second and space them out a bit, you should be fine. I know some other people are more conservative and would never have one drink and certainly not two, but I think two drinks on the odd occasion is really not a big whoop.
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If you want to get drunk, however, I would recommend what you're trying already: get her used to either a bottle or sippy cup...or even a regular cup, many babies can drink easily out of a cup if it's held right for them. Have you tried someone else giving it to her? Lots of babies will not take a bottle from mama but from papa instead. Then pump in the days leading up to the wedding and make sure you have enough for the night, and just give her that.
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As for nursing to sleep: has your fiance ever tried getting her to sleep? Maybe now is a good time to practice that. It's useful anyway if someone else besides you can get her down. Believe me I know how hard that can be ~DS is 13 months and actually tonight I have an event and I am going to try and be home before his bedtime because DH has a MUCH harder time getting him down without nursing! But there have been those times where he did it, sometime with a fuss and some crying (in DH's arms, NOT CIO!), sometimes more easily. Another idea would be to wait til your baby's asleep to start drinking.
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Also, it's useful to know that alcohol will not be in your milk, I think it's 8 hours after you've had a drink. It leaves your milk like it leaves your blood, so the only reason to pump & dump is if your breasts are engorged within those 8 hours. Otherwise, if you can hold out til morning, your milk will be clean.
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Have fun and congrats! 