Self care is what people do to manage their own health.  

Self Care and self management are often interchange definitions or are subdivided into Self-Care used in a wider context for the management of general health and wellbeing and Self-Management used in the specific context of the management of long-term health conditions. We will stick to the term self-care as it "is what is says on the tin" 

Self Care support is what friends, carers, relatives, health, social and the 3rd sector does to support people to self care (or not...)