Relative taking care of you and me at home (6)
I believe the answer is:
cousin
'relative' is the definition.
(I've seen this before)
'care of you and me at home' is the wordplay.
'care of' becomes 'co' (c/o can mean 'care of' when addressing mail).
'you and me' becomes 'us'.
'at home' becomes 'in' ('in' can be similar in meaning to 'at home').
'co'+'us'+'in'='COUSIN'
'taking' is the link.
(Other definitions for cousin that I've seen before include "one in my family" , "US icon is an odd relative" , "Child of a parent's sibling, say" , "Child of one's uncle or aunt" , "Son or daughter of an uncle or aunt" .)