Leave the kids on the nanny for at least 4 days, and only start to milk her out after that. if she seems very full in her first 4 days, you can ease her out a bit (until the udder is soft again), and store that milk/colostrum for future emergencies in the freezer. if you milk her out before that you risk her getting milk fever as she would be induced to produce too much milk too soon. If you PTS any male kids at birth you should ease her at a bit more, taking into consideration the amount of milk/colostrum those kid(s) would have taken.
Also go easy on the concentrate after kidding, none for the first day at least, mine are usually just on soaked warm sugar beet with some bran in it, and I start to add some concentrate from about day two, but building it up to their normal ration over a two week period. They still get a lot of veg though, and of course lots of hay. Mine also go out grazing for short periods, but if your grass is very lush make sure it is only for a little time (and she may not want to go out anyway as long as she has kids on her).
Good luck. If the orginal goatkeeper got his/her dates wrong, she is just about 4 weeks from her due date... so maybe a few days plus three weeks - as in she went to "see" the billy in the previous cycle at the end of November?