Maybe the fanfic is about the unique abilities the baby might inherit. Since Naruto has the Nine - Tails' chakra and Hinata has the Byakugan. The baby could potentially show early signs of extraordinary powers. It could be a story of how Naruto and Hinata train and guide their baby to control these powers in a safe and positive way.
One possibility is that the story focuses on their journey as new parents. Naruto might be super excited but also a bit clumsy at first, like trying to change diapers the wrong way. Hinata, on the other hand, would be very nurturing. They could face challenges like protecting their baby from villains who might want to harm Naruto's family.
The baby could grow up to be a great ninja. Maybe he'll inherit Naruto's dream of bringing peace to the ninja world. He could learn new jutsus and techniques, and become a respected figure in the village.
A possible plot could involve Hinata going into early labor. She's scared but tries to be strong for the baby. Naruto is at a crucial point in a diplomatic mission for the village. He has to make a tough choice between staying for the mission's success or leaving immediately for Hinata. In the end, he decides to go to Hinata and with the combined efforts of the medical ninja in the village, they welcome their new baby.
Well, it could be about the baby girl's first steps in ninja training. Maybe she has some unique abilities inherited from both Naruto and Hinata. For example, she might be able to use the Byakugan in a new way that Naruto has influenced, like combining it with his shadow clone jutsu concept.
Perhaps the baby could be named Kazuki. It gives a sense of being strong and noble, which would be fitting for the child of Naruto and Hinata. In fanfiction, the name could also be symbolic of a new beginning or a special power that the baby might possess, like being related to the combination of Naruto's Nine - Tailed Fox power and Hinata's Byakugan abilities.
Hinata and Naruto's baby was like a little ray of sunshine in their lives. The baby girl had a special charm. Hinata took great care in dressing her up in cute little outfits. Naruto was a doting father, always carrying the baby on his shoulders. One day, when the baby took her first steps, it was a moment of pure celebration. Hinata and Naruto held hands, watching their daughter with pride. Their baby brought out a new side of them, a side filled with even more love and tenderness.
One possibility is that Naruto would plan an elaborate and very public proposal. Since he is a bit of an attention - grabber, he might do it during a big festival in Konoha. He could gather all their friends and family, make a big speech about how Hinata has always been there for him, through his toughest times, and how he realizes she is the one he wants to spend his life with. Then, he would get down on one knee and present her with a ring.
It could also be because of Naruto's own insecurities. He might be afraid that Hinata's actions are drawing too much unwanted attention or putting herself in harm's way, and he yells to try and protect her in his own, brash way. He doesn't want to lose her, but doesn't know how to express it other than through yelling.
Naruto would likely become more responsible. He's used to being the hero, but now he has to be a father too. So he might cut back on some of his risky adventures to be there for his family. Hinata would become more confident as a mother. She's always been a bit shy, but with a baby to protect, she'd find her inner strength.
The baby might inherit Naruto's ability to use the Nine - Tails' chakra. Since Naruto has a strong connection with the Nine - Tails, it's possible for the baby to have some form of access to that power. This could manifest as enhanced strength and speed, similar to when Naruto taps into the Nine - Tails' chakra.