Nighttime is probably best, but let me tell you a story.
I once in the heat of summer had a hen go broody about the time I set eggs in the incubator. I put 6 eggs under the broody and left the rest in the bator, all started at the same time. A black snake ate the eggs out from under the broody but would not touch the plastic eggs I put under her. She stayed on the nest.
When the bator chicks hatched, I put four under the broody at night, around 10:00 p.m., and left the others in the bator. (That's when I shrink-wrapped a chick, opening the bator to get the four chicks to put under her.) She stayed on the nest with them all the next day and the following night. All the bator chicks had hatched by then. The next morning, she had them off the nest. I caught her and put her in a snake proof enclosure. I caught her four chicks and the other 11 bator chicks and put them all in the same cardboard box. I dumped all 15 chicks in the snake proof enclosure with her. She took them all.
I was sweating those two nights and the day she had them in the coop. I never did catch that black snake.
You can't see all 15, but this will give you an idea. You'll find it kind of hard to get good pictures. They just don't want to pose.
When I put them in this enclosure, the rest of the flock spent a while climbing on it and walking around looking at them. I did have one more go broody, but that was a month later.