Ps 63:1 O God you are my God, early (earnestly) I will seek you.
The first statement here is not a statement of possession. It is not that he is MY god, but that of a revelation, that he is my GOD. He is God, he is LORD, and all powerful. It is a statement of trust, of position. Even though I am small and powerless, I know you are GOD and able to take care of me in all situations. So I seek you early and earnestly, not from a self promoting point of view (I am the one who seeks), but from the understanding that I will put God first. Without Him I can do nothing, so I place Him in His proper priority – above all!
You can read and meditate on all of Ps 63.