Kakashi would approach Naruto's pranks with a mix of discipline and love. For instance, if Naruto tries to scribble on the walls, Kakashi would stop him gently. He'd then sit Naruto down and show him where he can draw instead, like on a piece of paper. He'd also tell Naruto stories about how important it is to respect their home. When Naruto does something really naughty, like trying to pull the cat's tail, Kakashi would firmly say 'No' but then immediately follow it up with a hug. He wants Naruto to learn right from wrong but also wants to make sure Naruto knows he is loved no matter what.
Kakashi would become more nurturing. In the original, he was a teacher, but as an adoptive father, he'd have to be more affectionate. He might show his face more often to Naruto, as a sign of trust, and be more open about his emotions.
The story could also focus on how Kakashi's decision to adopt Naruto affects the village's perception of Naruto. People might start to see Naruto in a different light, not just as the Jinchuriki but as Kakashi's son. This could lead to Naruto having a more positive experience growing up in the village, with less ostracism. Kakashi would have to navigate the politics of the village while also raising Naruto, which could add a lot of interesting twists to the plot.
Naruto, as a baby, could start to develop a sense of trust and security that he didn't have before. With Kakashi around, he could grow up believing in the power of friendship earlier. And as he grows up in this fanfiction, he might be more confident in his abilities because of Kakashi's early training.
One interesting storyline could be Kakashi taking on a more fatherly role towards baby Naruto. He could teach Naruto some basic ninja skills from a very young age, like how to throw a kunai properly. This would create a strong bond between them early on.
Their relationship could be one of mentorship from the start. Kakashi, with his skills and knowledge, could start teaching baby Naruto simple ninja concepts early on. He would also be very patient with Naruto, understanding that he's just a child and has a lot to learn.
You can try fanfiction websites like FanFiction.net or Archive of Our Own. Just search for 'Kakashi finds baby Naruto' on their search bars, and you'll likely find some relevant fanfictions.
The relationship can be developed through shared experiences. For instance, they could go on a mission together where Naruto is still young and inexperienced. Kakashi would protect Naruto and Naruto would learn from Kakashi's skills and strategies.
Kakashi would probably first check if Naruto is hungry or needs a diaper change. If that's not the case, he might hold Naruto close and gently rock him while humming a soft tune.
Well, a really heartwarming moment would be when Kakashi reads bedtime stories to baby Naruto. He would choose stories that are not only fun but also teach Naruto important values. Naruto would be snuggled up in his little bed, eyes wide as he listens intently. And when Naruto has a bad dream, Kakashi would be right there to comfort him, holding him close and whispering soothing words. Or when it's Naruto's first birthday, Kakashi would go all out to make it special. He'd decorate their place and get a small cake for Naruto, and Naruto's innocent joy would be so precious.