The proper pronoun for the given sentence above would be "his". The complete sentence is: Father Christmas is a character best known for his long, white beard. The pronoun "his" refers to its antecedent which is "Father Christmas" and the antecedent is a male, so a male pronoun should be used.
A healthy diet divine in fruits, vegetables, whole grains and low-fat dairy can help to reduce your risk of heart disease by maintaining blood pressure and cholesterol levels.