Carry child with care out of car (4)
I believe the answer is:
tote
'carry' is the definition.
(toting is a kind of carrying)
'child with care out of car' is the wordplay.
'child' becomes 'tot' (I've seen this before**).
'with' is a charade indicator (letters next to each other).
'out of' indicates named letters should be taken away.
'care' with 'car' removed is 'e'.
'tot'+'e'='TOTE'
(Other definitions for tote that I've seen before include "transport" , "System of betting on horse races" , "Capacious bag or basket" , "move" , "Drag; betting system" .)