If you're absolutely certain the one nuc is queenless and hasn't yet developed a laying worker problem, I'd shake half of them in front of each weak nuc that needs the population boost. They should smell the queen in each weak nuc and since they are queenless (and once shaken - homeless), they should eagerly join the colonies that have queens. There may be a little fighting, but the receiving bees are usually quick to recognize the incoming queenless bees are desperately homeless and welcome them in. If they're not queenless or have developed a laying worker problem, they might threaten or harm the resident queens. If you really wish to be safe, you could put the resident queens into queen cages, with a marshmallow or candy plug, for slow release, letting the workers become acquainted, so they are most likely to accept their new queen without issue.
If you do this, do not place the donor nuc back in its old location. There should be no place for the orphan bees to return home to. Giving them no choice but to join their new hives. Usually, if you just shake orphan bees out in an apiary, they will join the colony whose queen they like the smell of, best. But placing each group at the entrance of the colony of your choice, should help them decide to do as you desire.
If you do this, do not place the donor nuc back in its old location. There should be no place for the orphan bees to return home to. Giving them no choice but to join their new hives. Usually, if you just shake orphan bees out in an apiary, they will join the colony whose queen they like the smell of, best. But placing each group at the entrance of the colony of your choice, should help them decide to do as you desire.