Daughter tucked into more Brie after moving garnish (9)
I believe the answer is:
embroider
'garnish' is the definition.
(thesaurus)
'daughter tucked into more brie after moving' is the wordplay.
'daughter' becomes 'd' (genealogical abbreviation).
'tucked into' indicates putting letters inside.
'after moving' indicates anagramming the letters.
'more'+'brie'='morebrie'
'morebrie' is an anagram of 'embroier'.
'd' going inside 'embroier' is 'EMBROIDER'.
(Other definitions for embroider that I've seen before include "Sew; embellish" , "Elaborately sew" , "Sew decoration onto" , "Dress up" , "Do decorative needlework" .)