We lambed for the first time last year and right off that bat, twins then triplets!! After they were born, I stripped their udder and we threw them in their lambing pens for a couple days and had no problems with mom and her triplets. One was even smaller...I don't know, it was a breeze! I'd better shut up so I don't jinx myself! Good luck!
We had Mama & the babies in a closed stall/pen in the barn. The one that didn't make it was much smaller. I should have pulled one right away-he may have made it otherwise.
I would always take off one of triplets (I've had 7 sets this year). The real problem is when the lambs get bigger and the milk supply is insufficient. if this coincides with wet and cold period where the grass is not growing well, a weaker triplet may die or the lambs try too hard to suckle and cause damage to the teats. Infection then enters and causes mastitis.
This happened to me some years back when the ewe lost half her rudder to gangrenous mastitis and loss of half of the udder (she was lucky to survive and was ill for a very long time). I now always take off a triplet...ideally they can be adopted by a ewe who has a singleton, or, as no appropriate births have happened for me this year....enter my large 'orphan pen'