I just ran to the bird room because I could hear loud noises coming from there, I pulled off the covers and all the birds were thrashing in the cages. I have no idea who started it, probably Sesamo because I moved her to the new cage tonight.

There is no blood, thank god, they seem all shaken but fine. The only one that worries me is Trilly. She is constantly moving her right wing, I don't know how to explain it, as if she's rotating her shoulder.
She doesn't seem in pain, she is preening the wing because there are two feathers a bit ruffled (not broken though).

Should I take her to the vet tomorrow?
He is semi-retired and only sees patients on Wednesdays, so it's either tomorrow or next week.

I guess this is the only perk in being insomniac, I can hear immediately if something is wrong. It was so bloody scary, I wasn't sure how to stop them... I have had night frights before but not one where ALL the birds were thrashing. Horrible

I can't understand how that could happen, I leave a light on, the windows are completely covered so there are no shadows. Why they would panic if they wake up and see everything is normal around them?

Most likely Trilly's problem is just a wing feather that has been knocked loose, but keep an eye on her. With loose wing feathers, the bird will use the wing normally and can fly, but will squawk and complain and have obvious discomfort when re-folding the wing against the body. The feather will usually fall out after a few hours, but sometimes it takes a few days. Occasionally it will heal up without losing the feather.

If she isn't using her wing normally then she has some kind of internal injury (possibly just a bruise) and it would be best to see a vet.

Birds can panic even in the daytime, so being able to see doesn't always prevent this kind of thing. When something startles them, their first priority is to flee not to look around and figure out what's going on. When they panic at night, turning on more lights is usually helpful. It's also helpful when they see that YOU aren't panicking, so stay as calm as you can.

I'm so sorry, night frights are so scary. I hope we can find out why this happened.

Yes I agree. Jaid is very prone to night frights. He's knocked blood feathers twice (luckily it wasn't requiring plucking them; they stopped on their own) and had feather displacements like Trilly.

This morning I found a feather on the bottom of Trilly's cage, so I guess she managed to pull it out.
She isn't doing that weird shoulder movement and flies normally, it's quite a relief.

I am not covering them tonight, whoever started the collective fright was probably spooked by new surrounding; I was thinking, maybe the new cage is too full of stuff, and the bird felt something touching him/her in the dark and panicked... is that possible?

Last night they slept without cover and I think it's not a big deal if I decide not to cover them again, at least for a while. They were quiet until 11am just the same as usual.

It's possible that the unfamiliarity of the new cage contributed to the night fright. If you wanted to leave one side of the cage uncovered and cover up the rest, they would get plenty of light but would only have to watch for danger on one side.

I do not cover any of my birds completely if I use a cover for a bird the I only cover the top and three sides. it only takes one to panic or move suddenly to set the others off. I always have a light on in the bird room as I find although not bright it stops a lot of panicks