David went there to Mizpeh of Moab: and he said to the king of Moab, Please let my father and my mother come forth, [and be] with you, until I know what God will do for me.
So he actually crossed over in the area of the Dead Sea, went over to the other side to Moab and there he established his family. Now he knew that Saul's anger against him would ultimately turn against his family.