Ask-a-Dave's-Gardener: Aeonium arboreum atropurpureum - Help! What to do with it?, 1 by namnam

namnam wrote:
A few weeks ago I kinda inherited a quite big Aeonium.
It looks quite messy and I am not sure what it has been through. I removed all the old, dry leaves.
It is getting cooler here in Zurich at night, so I reckon I should move the plant inside, since it is lower than 10 degree celcius.

Now I am not sure what to do with it. Maybe cut off all the smaller stems and replant them in their own pots?
What would you do? (And when is the best time for it?)