JZBZ queen cage.

Benton 3 hole cage.

Now that you have the queen question settled how to build the nuc.
I use two different types of nuc boxes. One is a double nuc box from a deep split in two. I'll do a write up on how to do that latter. these are easier to work with 4 frames to a side.
Deepwithdividerboard.jpg

More on the above nuc latter too.
I pull a frame full of honey and pollen which I place on the out side edge.
Some times you have to settle for a frame of honey then find one with lots of pollnen.
then I pull 3 frames of brood from eggs to fully capped ones for the age difference. If I am useing a boughtn queen I install the cage add a half pollen patty on the top bars and close them up for a week.
After a week I check the queen cage and remove it most times. After I see the queen is laying well I will transfur them into a 10 frame deep.
