| Gill's Exposition of the Entire Bible And all the people departed, every man to his house,.... Having accompanied the ark to its place, and having praised the Lord for it, and been refreshed with food, see 2 Samuel 6:19. and David returned to bless his house; his family; the Targum is,"to bless the people;''see 2 Samuel 6:20.
Keil and Delitzsch Biblical Commentary on the Old Testament1 Chronicles 16:43 brings the account of the transfer of the ark to a conclusion, and coincides in substance with 2 Samuel 6:19 and 2 Samuel 6:20, where, however, there follows in addition a narrative of the scene which David had with his wife Michal. This, as res domestica, the author of the Chronicle has omitted, since the reference to it in 1 Chronicles 15:29 seemed sufficient for the design of his work. לברך is not to greet, but to bless his house, just as in 1 Chronicles 16:2 he had already pronounced a blessing on his people in the name of God.
Geneva Study BibleAnd all the people departed every man to his house: and David returned to {t} bless his house. (t) Declaring that after our duty to God we are chiefly bound to our own house, for which as for all other things we should pray to God, and instruct our families to praise his Name.
Matthew Henry's Concise Commentary16:37-43 The worship of God ought to be the work of every day. David put it into order. At Jerusalem, where the ark was, Asaph and his brethren were to minister before the ark continually, with songs of praise. No sacrifices were offered there, nor incense burnt, because the altars were not there; but David's prayers were directed as incense, and the lifting up of his hands as the evening sacrifice. So early did spiritual worship take place of ceremonial. Yet the ceremonial worship, being of Divine institution, must by no means be omitted; therefore at Gibeon, at the altars, the priests attended; for their work was to sacrifice and burn incense; and that they did continually, morning and evening, according to the law of Moses. As the ceremonies were types of the mediation of Christ, the observance of them was of great consequence. The attendance of his appointed ministers is right in itself, and encourages the people. | 
