The great granddaughter of my second goat had triplets yesterday, 2 does and a buck. Because I have CAE in my herd, I raise my does on pasteurized milk and let Mama raise the bucks. This is only the second year I have let the does raise their buck kids and I love it as it relieves me of milking in the evenings. I milk in the mornings,let the kids run with the herd all day and when the kids are on solid food, I separate them at night(posted 9661 days ago)As far as letting the doe raise all three, just watch them carefully to be sure all are getting plenty to eat. You may want to supplement the smallest one with a bottle as some of mine have actually pushed the least aggressive kid off the teat. Once the doe and kids have adequately bonded and the kid is agile enough to escape bossier animals, they can go into the pasture. With your other animals about to have their own offspring, it shouldn't present much of a problem. Just observe all and act accordingly. Really a fun time, isn't it? I got my first goats in l978 and they never cease to fascinate me.
Good luck! Marilyn