2 Samuel 2:2-3

(2) So David went up thither, and his two wives also, Ahinoam the Jezreelitess, and Abigail Nabal's wife the Carmelite. (3) And his men that were with him did David bring up, every man with his household: and they dwelt in the cities of Hebron.

Observe how a prudent man, not only attends to his own personal concerns, but to the concerns of his family. There is nothing said of his children, neither can we learn from the word of God whether David had any at this time. Indeed as his first born was born in Hebron, it should seem that this event took place after he came to the kingdom. See 2 Samuel 3:2.