It is exactly as Anke says. We breed our goats for showing as well, and by taking away the kids, you are monitoring exactly how much mum is giving, and how much the kids are drinking. It is harder work, because there is more for you to do, 4 feeds a day, bottle washing, milking, washing up milk buckets etc. But you would be surprised how much it improves your husbandry. It's not just early signs of mastitis that you can pick up, but any illness in the mums can be reflected in the mums milk production. You can pick up ill health in the kids too, as then you notice straight away if a kid doesn't want it's bottle, or if it only drinks a little bit.
Kids can decide they have a preference for one side of the udder too, and you might end with a lopsided udder in the goat, which for showing isn't good either.
Also, bear in mind, not all goats are naturally great mothers. Some of them don't even like their kids when the kids are born.
Personally, we take the kids away virtually straight away birth. We hand milk, and the first feed the kids get is from us out of a bottle- so they look to us for food.
Generally it will only ever be four feeds a day, sometimes on their first day, if they are born at an odd time they will get an extra feed, but after that 4 feeds a day only. To give them more feeds a day only makes more work for you, and means that the kids will start to learn to take more milk at a feed as they will be hungrier.
Once our kids are roughly a fortnight old, we teach them to drink from an old saucepan, and they go down to 3 feeds a day, but they can drink more out of a pan.
Beth