More than caring ourselves we should care for our better half who will do service to you without thinking about himself/herself.
Self Obsession is something similar to selfishness. Things can get especially bad when self-obsession turns into true narcissism. One should not be selfish but one should not neglect himself. Always there should be a balance.
A person may look after his family members but it's also important to take care of yourself. We can't ignore ourselves, we can work only when we are fit and ready to do certain work.
Ignoring self is inviting a number of problems which can create hurdles in the development of an individual.
So always take care of your self and when you are healthy and fit you can very well take care of others. While self-obsession is a problem which needs to be avoided at all cost.
Everyone has some ego and self respect in varying proportion and depending upon that these traits are produced. They are required to some degree otherwise we will not be able to survive in this cruel and difficult world.
At the same time to much obsession with oneself is an introvert activity and can adversely affect the growth and development.
Knowledge is power.
But you have to take care of yourself and it is very important when so many people are dependent on you. Yes, we all are dependent on one another whether it is at home or workplace. While working on a particular issue or caring for others, often we neglect ourselves. It has to be avoided for our betterment. If we do not take enough care of ourselves we will become easily tired and cannot continue the work. It is always important to take care of yourself, but never be self-obsessed.
"Life is easier when you enjoy what you do"