Is it permissible for me to explain my difficult financial situation to my deceased sister's children, hoping they might forgive me their share of the house inheritance? And would this be considered an embarrassment, or should I seek the help of a third party? Also, am I sinful for handing their father their share of the inherited land while they were minors?

The share of the young children is handed over to their father, because he has the most right to guardianship over their money. The share of the children from the house must be handed over to their father, for the father is the guardian of his young children, and he is the one who disposes of their money. He is not allowed to relinquish their money or donate it. Rather, he must observe what is best for them. However, if the children are adult and mature, it is permissible to ask for their forgiveness, provided that their waiver is not out of mere shyness. If it is highly probable that they will forgive out of shyness, then this waiver will not be valid, and the money must be returned to them.