Self-seeking is always looking for ones own advantage. A self-seeking person acts with the ulterior motives of the own profit. There is a very thin line between self-seeking and ordinary self interest.
We need to have a healthy interest in ourselves. When self interest is linked with esteem it can’t act self-centered.
Esteem is the opposite of self-seeking. Esteem and being self-centered never work together. When we give esteem to somebody we don’t do it with the ulterior motives of getting esteem for ourselves. If we did it with selfish motives the esteem wouldn’t be authentic and wouldn’t be felt as genuine by the other person.