A big house for dad to do up (6)

I believe the answer is:

palace

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'a big house' is the definition.
'palace' can be an answer for 'house' (palace is a kind of house). I am not sure about the 'a big' bit.

'dad to do up' is the wordplay.
'dad' becomes 'pa' (synonyms).
'to do up' becomes 'lace' (I am not sure about this - if you are sure you should believe this answer much more).
'pa'+'lace'='PALACE'

'for' is the link.

Can you help me to learn more?

(Other definitions for palace that I've seen before include "Sovereign's residence" , "See 16" , "Locality round a monarch's official residence" , "Castle" , "Royal residence" .)

I've seen this clue in the Evening Standard.

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