Summing up the story: David, because of his love and devotion to Jonathan, seeks to find if there "Is anyone still left of the house of Saul to whom I can show kindness for Jonathan's sake?" (2 Samuel 9:1) and "Is there no one still left of the house of Saul to whom I can show God's kindness?" (2 Samuel 9:3)
When David learns that there is one of Jonathan's sons still alive he has him, Mephibosheth, brought to him.
Upon Mephibosheth's arrival David says to him, "...I will restore to you all the land that belonged to your grandfather Saul, and you will always eat at my table." (2 Samuel 9:7)
And so here you have a young man, a stranger to David one day and the next being welcomed with open arms to receive an inheritance and to eat at "David's table like one of the king's sons". (2 Samuel 9:11).
The result of David's actions brings joy to my heart: "Mephibosheth lived in Jerusalem, because he always ate at the king's table.." (2 Samuel 9:13)
May our table, although not quite as fancy as a king's, always be open to any and all that the Lord brings to it.