Cup of tea inspiring family activity in kitchen (6)
I believe the answer is:
baking
'activity in kitchen' is the definition.
'baking' can be an answer for 'activity' (baking is a kind of activity). I'm unsure of the 'in kitchen' bit.
'cup of tea inspiring family' is the wordplay.
'cup of tea' becomes 'bag' (synonyms).
'inspiring' indicates putting letters inside.
'family' becomes 'kin' (synonyms).
'bag' placed around 'kin' is 'BAKING'.
Can you help me to learn more?
(Other definitions for baking that I've seen before include "Making bread, cake or pastry" , "Very hot; making bread" , "For putting bun in the oven" , "Cooking by dry heat" , "Making bread, cake, etc." .)