True, you do need to get passports issued for your kids on urgent basis. In most countries that should be not more than 5 days.

On the otherhand, i know someone who would not bother about the passports, just arrive at the airport and argue/convince the immigration that since the parents are going in, the kids should be allowed as well. Not recommended obviously, but this guy i know has always been lucky. I mentioned it just as an interesting thing to share.

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Quidquid latine dictum sit, altum sonatur.