This is Timo, one of my babies, a couple years ago when he was maybe two weeks old. I would take the babies out of the nest daily, give them a nice warm bath where I'd hold them in to clean their feet. They usually fell asleep in the warmth, and then I put them in a towel that I had shaped into a nest (with! cover). There they'd sleep while I cleaned their nest. I swear, if they could have purred, they would have!
So I hope this counts as "hiding"? There's 3 more (smaller) babies under the cover behind the one you see, but you can't see them ofcourse. They're completely hidden. So there's really 4 budgies in this picture.
Proud mom to (in order): Louis, Nala, Sarabi, Karel (RIP), Suske, Timo, Kira, Lizzie, Mickey, Flippy and Kitty.