Question: why tywin make tyrion hand?
Answer: Because he genuinely hates tyrion, the idea of tyrion brig his heir sickens him. ... He could also use this as a way to get Tyrion away from Casterly Rock. We all know how much Tywin hated his father for the dishonor he brought to House Lannister. He considered Tyrion to do the same thing with his dwarfism.