Each pup should have its own small corm which is attached to the mother.
Slice it close to to the mother
I just took this pic...I try to keep as much soil with the pup for better results and less shock for my zone.
And just pull the pup from the old stem and plant out.
Or sometimes I will just cut them away from the mother and let them stay in the container till I am ready for them.
https://www.flickr.com/gp/110357684@N02/17L8F4