Gifts

Q: Is it true that the Rasulullah (sallallahu alaihi wasallam) gave his beloved grandsons gifts of money on Eid day? If so, will exchanging of gifts not be sunnat on Eid day?

Q: My aunt has just passed away. My uncle would like to sell his property and distribute the income between his 4 children.
He has 2 sons and 2 daughters: 1 of the sons has indicated that he does not want anything. The other son has not given any indication of what he wants. Both the sons have their own homes. Both daughters (both married with families) currently live with the father, and their families.