Hi Ger-D,
I grow over 135+ different Sempervivums and have since the 80's. I don't know where you live but if it is zone 4 and southwards they are best planted in the garden. Semps do not make good houseplants. They are hardy succulent perennials. Only if given winter cold will they become colorful garden gems. They are my favorite second to daylilies and irises.
The hen's lifespan is 3 years. She will bloom, then die to leave space for her offsprings. Meanwhile she has produced many chicks to carry on.
As far as your question, I would leave them as is until you can plant it outside in early spring when winter is over. Chicks can be removed and potted up for the winter to be planted outdoors.
Below are some of my Semps taken in May. The single one is Deimos, a beauty.