My turkeys don't usually start to lay until mid-February although the male is 'treading' well now due to the mild weather.....................I always leave it a month into lay before I would start incubating to ensure that the eggs are fertile.
It's a bit early, cold and wet to be thinking of hatching turkey eggs as the poults do need a lot of space so they don't get bored. We like to get ours outside as soon as possible and have built an enclosed moveable shelter from box profile as protection to put their housing/and run in because they can quickly die from hypothermia if they get wet.
We usually get males at 10-11k and females from 5-6k from April/May hatches.