Change rota for moving item in wardrobe (4,6)

I believe the answer is:

coat hanger

I'm a little stuck... Click here to teach me more about this clue!

'item in wardrobe' is the definition.
(coat hangers hold clothes in a wardrobe)

'change rota for moving' is the wordplay.
'change rota' can be anagrammed to 'COAT HANGER'.
However, I'm not clear how this is indicated.

Can you help me to learn more?

(Other definitions for coat hanger that I've seen before include "Wardrobe utensil" , "Curved piece of wood with a hook in a wardrobe" , "Hot carnage (anag.)" .)

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