what breed(s) do you have? What are you feeding them and how much? Do they have granite grit? How is the water? By that I mean some water can have things like sulfur or iron in it. Have they gone without water for any length of time? Four standard sized birds on average consume a quart a day. Has it been real hot where you are? Do they free range? When you say you moved coop, are they in a tractor? What is measurements on coop and run if they don't free range?
Usually they drop in egg production the seven to ten days after being moved. That is odd yours were OK until just recently.
Egg eating is caused by birds going hungry/thirsty, leaving eggs (not gathering at least once a day) and over crowded, bored birds. Unbalanced nutrition can start it too, like a shell less egg or thin soft shells easily broken. If birds eating you find broken and shells.
Dogs and snakes both tend to take whole egg and ear. Can your dog get to nest boxes? Snake usually only takes two or three ever four or five days.
How are they acting? Did previous owners have any health issues with them? How old are they? Have they been dewormed lately or did previous owners deworm? Anybody acting broody?
