Morality is subjective, in a sense that we each have our own moral labels. Our own systems of right and wrong. We use our own standards based on what we believe is true.
In its simplest form, truth, life, and love are on one side of the switchboard. They are all objectively good. Yet, you are free to label them differently. In your morality, you can label truth as bad, life as bad, or love as bad. In labeling these as bad, you also change their opposites: lies would be good, death would be good, hate would be good. In comparing these labels to the objective standard, you would be evil. [For more on this concept, check out this post.]
But morality is objective in a sense that there is a standard beyond ourselves. So that as our labels match God’s, things make sense. As our logic aligns with his, our morality does as well.
So morality is both subjective and objective. In that there is a proper standard outside of us. It is subjective in the sense that we set our own standards. We are the authors of our own moralities, measured against the nature of God.