So:
Those boys got lucky! Their caretaker put off her trip (no surprise) till the fall, and they went back to their outdoor home. Will revisit that situation down the road.
The family is in the back bathroom now. The two adults, lets call them mother and dad, are guarded, very quiet, but not spooked by anything...calm and affectionate! The dad is big, and serene. He is watchful and protective. The smaller mother is also calm and relaxed. Go figure...the adults were used to people, but the babies- not at all. We named the calico girl Juliet, mother Julia, dad Jules, and the boys Julian and Max. I don't go for cute or random names, but they are family, and those names seem to suit. Max, well, he's more out front and confident. He just jumped from my lap onto a distant cat tree! Now exploring the living room. The others are in the cage, their happy time (or not) out of the back room. They'd run & hide still if I put them on the floor.