Quaker's name is Clover and Ringneck is Lemon. My suggestions were all thrown aside and I've admitted defeat. The Quaker is more skittish and has a clip that is severe enough to only allow her to jump a few feet when she attempts to fly. Ringneck has a light clip, the same as Fajr.
Day 1: The birds were brought to us sometime in the afternoon. We waited until they seemed less stressed in their carrier to transfer them to their cage. Once settled in their cage, the quaker kept moving to preen the ringneck's tail, who seemed to be annoyed. Inappropriate toys were removed (Paper spiderman mask, earbuds, yarn toys, roll of paper/cotton??) and the birds were given the feed they came with and covered at sunset.
Day 2: We sat outside the birdcage and talked to them. They didn't seem to be affected at all. Opened door and put hand at bottom. Ringneck didn't care. Quaker indicated level of comfort by putting claw on the side of the cage. Stopped moving closer whenever the claw went to the side and moved a bit again once claw was put back on the bar. Did this for about 30-50 minutes, then took hand out and sat and talked to them until leaving for breakfast. Both birds went to the cage door and sat on it, so we opened it while sitting a respectful distance away and handed them apple slices. Were surprised to find how readily they accepted them after the first one. Watched them play with clothespins until they tired and went back inside their cage on their own. Hear vocalization of ringneck for the first time when it drops its clothespin under the cage grate. Noticed that the quaker's attempts to preen ringneck's tail decreased after they were both given clothespins to play with. (On a funny note: Youngest sister complains that her bird's vocalization sounds like farts while the ringneck sounds cuter.)
Day 3: The birds seem content in the morning. I approach their cage slowly and place the bathing tray on top of their cage, it contains a bit of water. Would have waited to do this but they have both been scratching themselves often since they came. They both eye it nervously from inside their cage. Give them both their apple slices and sit down on nearby couch to work. They get used to the black tray. After a few hours I open their cage door and the ringneck is the first to approach the tray and test the water. After a while I realize the water is probably cold by now and proceed to use the yellow bowl that came with them to add warm water. The ringneck becomes curious around my third time doing this, and comes closer. Seeing his positive reaction to the bowl, I leave it in the tray and watch him play with it, then go back to grab a jug to continue filling the tray. I was apprehensive about this, but they're not frightened at all. The Quaker even ventures closer and I let her nibble the lip of the jug before pouring in the water. Ringneck bathes and Quaker pokes at the water, though she doesn't even perch on the edge of the tray. I return to my work and leave the room for a minute. Come back just in time to see the Quaker go from the cage to the couch arm. The birds and I all freeze and Quaker begins pacing arm of couch and slowly i put one arm on the cage and one on the edge of the couch so that she can use me as a ladder but she's still pacing. Take the hand off the cage and Quaker nibbles at my fingers, paces some more, and then climbs onto my sleeve and onto my shoulder and lets me deliver her to the cage. Similar incident repeats with the ringneck a few minutes later-he would normally be able to fly back, but since he was wet he had about the same flight ability as the quaker. Didn't hesitate at all to climb up my arm.
Now both have returned inside their cage, preened one another, and settled in for a nap. Typing this out and realizing it's only been three days, I feel like I'm rushing, but we have been letting them set the pace for all this. I've been retreating whenever they seem nervous, but aside from yesterday morning, the signs of nervousness are scarce.
I'm not sure where to go from here though. I feel I should wait at least two weeks before trying to teach them to step up. Should I just proceed with this routine? Letting them out until they feel like returning and handing them fruit and toys?