They'll be fine, they're feathered out, so they really are ready to be outside now. I put mine out even before that if the weather isn't cold. Like it is now they should be just fine.
It sounds like you got things all set up for them. I hope you put something over the chain link because raccoons can pull chickens through that. I use chain link dog runs, but I have put chicken wire or hardware cloth over it to keep the rascals out. If I was putting chickens in there without a safer place to keep them I would for sure use hardware cloth. Mine that I have chicken wire over are shut up in a coop at night & not out where any critters can get them. I had my chickens in a dog run when I first got them here at this place & didn't have my coop done yet. I had a raccoon pull a hen through the wire & eat her head off. I also had possums go right through it & eat half my guineas in one night. Those are my experiences with chain link.Must be moving them out time. Lol
Me and GF spent this afternoon building a coop out at " the farm". It's pretty cool that we're buying my step dads place because even though we are a while from moving in yet he is letting us come out and kind of start setting things up. He knew we had the chicks coming along so we I asked him about bringing them out he said " as long as you can keep them safe from my dogs" - so today we built "Fort Chicken" !! It's a 12x 22 open air coop. Originally a lean too style horse stall off the barn, the north wall is the side of the barn, the south and west walls are 4 ft of solid bridge timbers, with the west wall having tin to the roof and the south wall being a hog panel the full length of the top. When I looked at how to close it in, I had figured over $80 in materials and then still needed a door. Went to Orschelns and bought a 12x6 chainlink dog panel with a gate for $130 instead and slapped it up there, then over over layed chain link we had to full in to peak of roof. Next dug about a foot deep trench a buried a hog panel that comes up the front of the chain link to keep digging predators out.
In front of that there is about a 30x30 pen they will be able to graze when we're around.
Then we found an old wooden ladder and wals roosts for all.