I've never done it with quads - never had the opportunity - but I nearly always, with triplets, unless the ewe is clearly not going to manage, leave them all with mum and teach the lambs to come for a bottle. Then, once they'll all, or at least the number of extras she has, run to me for the bottle, they go out with everyone else and get topped up in the field, twice a day at first and once a day once they're a few weeks old and all eating grass well.
Only viable with small numbers of course!