In some fanfictions, the baby might inherit certain traits from both of them. For example, the baby could have Peeta's kind heart and Katniss's survival skills. This would lead to some really heartwarming and exciting stories as the baby grows up in a challenging environment.
One interesting idea could be how Peeta and Katniss raise their baby in a post - Hunger Games world. They might be overprotective, given their own experiences in the Games.
Maybe the baby has some special abilities or characteristics that are unique to the world they live in. For example, the baby could have an uncanny ability to sense danger, like Katniss with her hunting skills. This would add an interesting dynamic as Katniss and Peeta have to figure out how to handle this while also being new parents.
One idea could be that the baby is born during a time of unrest in Panem. Peeta and Katniss have to protect their child from the remaining threats. Maybe some old enemies resurface, and they use the baby as a target to get back at Peeta and Katniss.
Peeta would probably be very nurturing. He has a kind heart, so he'd be great at taking care of the baby's basic needs like feeding and changing diapers. Katniss, on the other hand, might be a bit more cautious. She's used to being in survival mode, so she'd be constantly on the lookout for any potential threats to the baby.
A great fanfiction could be that Katniss and Peeta's baby has a special bond with nature, just like Katniss. The baby discovers new ways to interact with the forest and uses this knowledge to bring about positive changes in their community. This could involve the baby learning about plants that can be used for medicine or food, and sharing this knowledge with others to improve their living conditions.
Another plot could be set during the Quarter Quell. Peeta and Katniss find out that there are some Capitol secrets hidden in the arena. They then team up not only to survive but also to expose these secrets. Their relationship would be put to the test as they face new and more dangerous threats.
They would become more united as they have a new life to protect. Their focus would shift from just each other to their baby, and they would work together even more closely.
One common theme is family. Since it's about them having a baby, it often focuses on how they build a family unit. How they protect and care for their child.
Survival in a new context is also a theme. They had to survive the Hunger Games, and now they have to survive the challenges of raising a child in their post - Games world. For instance, protecting the baby from any threats that might still lurk in their society.
Maybe the story could focus on the challenges they face as new parents. Katniss might struggle with being over - protective, given the dangerous world they live in. Peeta, on the other hand, is more laid - back. Their baby girl could have some special abilities, like being able to communicate with animals like Katniss, which brings both excitement and fear as they try to keep her safe from those who might want to use her for their own gains.
One plot idea could be Katniss and Peeta having to survive in a post - Hunger Games world filled with new threats that force them to rely on each other even more. Another could be a story where they go on a secret mission together outside of District 12 and discover something that changes their relationship. Or perhaps a plot where they have to deal with a false rumor about their relationship that causes chaos in the districts.