If you want tame kids, take them when born or shortly thereafter. It'll be easier on the doe's emotions if you take them ASAP. If she's wild, she won't let you within 15' of them.
I've taken kids as old as a week and a half and put them on the bottle. Ideally, you take them at birth or within a few days. Usually I'll take boer kids off of the dams to bottle raise (doelings, and only if there's another sibling I can leave on her) so I can ensure they're tame. Within a few days of birth, kids will generally nurse anything - the stubborn ones people talk about here and there were probably difficult to get started nursing their dam, too.

Once they get hungry, they'll take a bottle. Having experience bottle feeding helps too.
If she has bucklings, leave 'em on. They're meat anyways most likely, that'll solve all the problems. What would really be nice is if she gives you buck/doe twins. Take the doeling to raise on the bottle, leave the buckling on her.
If you want to milk, that's up to you. If it's not feasible, let her bag up for a day or so, then milk her partway out to ease tension, then let her bag up again etc. That will signal the doe's body that her kids aren't around, and to stop producing. I had to do that with my CAE pos does I had several years ago. They weren't comfortable but I wouldn't call it cruel by any stretch of the imagination.
I'd pen her, and take her to the milk room 1 or 2x per day and put her in the stand for pretend milking. Sit with her, and most goats will love you if they realize you give out the scritches especially on the shoulders. They love that. Feed her right next to you, run your hands over her, and especially while in the milkstand, sit next to her and pretend to milk. She'll kick and dance but just keep at it. hopefully the food will distract her enough that eventually she'll decide it isn't too bad.