Harrison Bergeron is forced to wear a number of handicaps to draw him down to the general level of mediocrity that passes for equality in the dystopian society in which he lives.
Because Harrison is a tall, good-looking guy, he's required to wear handicaps that make him look shorter and uglier than he actually is. To that end, he's forced to wear a large, unsightly pair of glasses expressly designed to blind him and give him headaches.
His handsome features are also marred by the presence of a big red clown nose that makes him look utterly ridiculous as well as ugly. For good measure, Harrison is required to wear black caps on his teeth and have his eyebrows shaved off.
As Harrison is such a tall young man, he's not allowed to tower over everyone else, as this would violate the government's policy of complete "equality." So he's forced to put on three hundred pounds of metal to weigh him down.
Like his father, Harrison is a highly intelligent man, which is a no-no in this radically egalitarian society where everyone's expected to be dull and stupid, the better to be controlled by the government. In order to prevent him from thinking, Harrison must wear large headphones that regularly emit loud noises that make it impossible to concentrate.