Disinfectants shifting grime surfaces picked up (10)

I believe the answer is:

germicides

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

'disinfectants' is the definition.
(I know this)

'shifting grime surfaces picked up' is the wordplay.
I cannot really see how this works, but
an anagram of 'grime' is 'germi' which is present in the answer.
This explanation may well be incorrect...

Can you help me to learn more?

I've seen this clue in The Independent.

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