With things like Cyclamen I usually lift them when the big ones have stopped flowering, as the leaves start to come out. If they are potted on I keep them in the greenhouse over winter. Or the slightly bigger ones get transplanted into the garden straight away. Don't know if that is the right time but it works for me.

is it a different plant you are thinking of?

Sorry C. hederifolium and possibly coum. I missed some of the seed heads and the ants here do not take the seeds away as they are supposed to do. So there are a lot of them growing on top of the original corms. At the moment they are tiny. No matter how careful I am and when I do it, they fail to survive. Very frustrating.

I would wait until they go dormant to try and transplant. I rarely touch new bulbs until August when I clean up the pots for the start of growth in September.