Know-It-Alls and Broomsticks

In his first few weeks at Hogwarts, Harry Potter notices the bushy haired girl from the train struggling to fit in, but he already has a friend. He wants to be her friend too, but he's not sure how to be friends with two people who don't like each other. Harry gives it a go anyway, and his and Hermione's friendship gradually blossoms into something that Voldemort will come to regret... First through Third year near canon, more AU after that.