At first, it might be a bit rocky as Teddy is a young boy dealing with the loss of his parents and Harry is still learning to be a father figure. But as time passes, they start to bond over simple things like Quidditch. Harry teaches Teddy how to fly a broomstick, and this shared activity brings them closer.
Initially, Harry's raising of Teddy would be based on his love for Teddy's parents. But as time progresses, he would develop his own unique bond with Teddy. They would go through normal family things like holidays and birthdays together. Teddy would rely on Harry for advice on school, friendships, and magic. Harry would be there for Teddy through all his ups and downs. As Teddy becomes a teenager, there might be some clashes in their personalities, but they would always come back together, and their relationship would be one of the most important in both of their lives.
In some Harry Potter fanfictions about Teddy Lupin's time travel, he might go back to prevent certain tragedies. For example, he could try to save his father Remus Lupin from the final battle. He might use his knowledge of the future to change the course of events, perhaps by warning the Order of Phoenix earlier about Voldemort's plans.
Well, perhaps in the fanfiction, Harry adopts Teddy Lupin right after the Battle of Hogwarts. Teddy is just a baby then. Harry, who has lost so many people, sees Teddy as a new beginning. He might face challenges from the wizarding community as some may question his ability to raise Teddy. But Harry, with the help of his friends like Hermione and Ron, overcomes these difficulties and Teddy grows up to be a strong and kind wizard.
Well, first of all, Harry would have to adjust to the new setting of Forks. He would be raising Teddy in a place very different from the wizarding world. Teddy might start to show some interesting magical abilities that would be quite a novelty in Forks. Harry would have to be careful not to expose magic too much, while still teaching Teddy about his heritage. And he would probably make some new friends in Forks who would be intrigued by his different ways.
There's a fanfic called 'Teddy Lupin: The Next Generation'. This one delves into Teddy's role in the post - Voldemort wizarding world. It details how he uses his unique abilities, being a Metamorphmagus, to solve various mysteries around Hogwarts. It's full of action and interesting character interactions.
Some fanfictions explore Teddy Lupin's time at Hogwarts in a more emotional way. He could struggle with feeling different because of his werewolf heritage. Harry, having faced his own share of hardships, could be there to support him. These stories often show how Teddy grows as a wizard and a person, with Harry being an important influence in his life.
He could change the outcome of the war. If Teddy went back in time, he might be able to tip the balance in the fight against Voldemort. He could use his knowledge of advanced magic from his own time to outwit the Death Eaters.
A really unique fanfiction involves Teddy Lupin having visions of a future that is not so bright for the wizarding world. He enlists the help of Harry Potter to change the course of events. Along the way, they discover secrets about the magic that was long forgotten. This story not only has an interesting plot but also delves deep into the magic system and the relationship between Teddy and Harry.
One great 'Harry Potter raises Teddy' fanfiction is 'Teddy's Growth'. It beautifully depicts Harry's journey as a surrogate father, showing his struggles and joys. It also has some really interesting magical elements incorporated around Teddy's own magical development.