A Commentary, Critical, Practical, and Explanatory on the Old and New Testaments, by Robert Jamieson, A.R. Fausset and David Brown  at sacred-texts.com
psa 63:1The historical occasion referred to by the title was probably during Absalom's rebellion (compare Sa2 15:23, Sa2 15:28; Sa2 16:2). David expresses an earnest desire for God's favor, and a confident expectation of realizing it in his deliverance and the ruin of his enemies. (Psa 63:1-11)
early . . . seek thee--earnestly (Isa 26:9). The figurative terms--
dry and thirsty--literally, "weary," denoting moral destitution, suited his outward circumstances.
soul--and--flesh--the whole man (Psa 16:9-10).
psa 63:2The special object of desire was God's perfections as displayed in his worship (Psa 27:4).
psa 63:3Experiencing God's mercy, which exceeds all the blessings of life, his lips will be opened for his praise (Psa 51:15).
psa 63:4Thus--literally, "Truly."
will I bless--praise Thee (Psa 34:1).
lift up my hands--in worship (compare Psa 28:2).
in thy name--in praise of Thy perfections.
psa 63:5Full spiritual blessings satisfy his desires, and acts of praise fill his thoughts and time.
psa 63:6night--as well as day. Past favors assure him of future, and hence he presses earnestly near to God, whose power sustains him (Psa 17:8; Psa 60:5).
psa 63:9those . . . to destroy it--or literally, "to ruin," or, "for ruin"; that is, such as seek to injure me (are) for ruin, appointed to it (compare Psa 35:8).
shall go . . . earth--into the grave, or, to death; as their bodies are represented as a portion for--
psa 63:10foxes--literally, "jackals."
psa 63:11the king--that is, David himself, and all who reverence God, "shall share a glorious part," while treacherous foes shall be for ever silenced (Psa 62:4).