One challenge could be protecting the baby from their enemies. Vegeta has made many foes over the years, and they might target the baby. Also, Vegeta's Saiyan nature might make him push the baby too hard in training, while Bulma wants a more relaxed approach. This difference in parenting styles could cause some friction between them.
Vegeta would likely still be his proud and strong - willed self, but with a newfound tenderness towards Bulma. He might be a bit more protective and less quick to anger. Bulma, on the other hand, would be her intelligent and sassy self, always ready to challenge Vegeta in a playful way.
In the fanfiction, their relationship could be explored by showing how they adapt to each other. Vegeta's feral side might require Bulma to be more patient and understanding. And Bulma's needs might force Vegeta to become more domesticated in some ways. For instance, he might have to learn to control his temper around her family and friends. It could also show how their relationship evolves over time, starting from initial attraction despite their differences to a deep, loving bond that endures through various challenges.
Their relationship would likely become more intimate and committed. With a baby on the way, Vegeta would probably be more protective of Bulma. He might show his love in more practical ways, like making sure she has everything she needs.
At first, it might be a relationship based on mutual need. Vegeta needs Bulma's resources and intelligence to get back on his feet, and Bulma is intrigued by this alien. As time passes, they start to understand each other better. For example, Vegeta may start to open up about his past and his Saiyan pride, and Bulma will share her dreams and ambitions with him.
Well, Bulma and Vegeta. Bulma is a brilliant scientist and Vegeta is a Saiyan prince. Their story began in a rather unexpected way. Vegeta was initially a foe, but as he spent more time on Earth, he and Bulma grew closer. She was able to see past his tough exterior. Their love grew as they faced various threats together. And with the birth of their child, their bond deepened. Vegeta, who was once so cold - hearted, started to care more about Bulma and their family.
In DBZ Vegeta and Bulma fanfiction, there can be alternate universes explored. Maybe in one universe, they meet under different circumstances. For instance, instead of Vegeta coming to Earth as an enemy, he could be an ally from the start. This would completely change the dynamics of their relationship. It could lead to a more romantic and less combative start to their relationship, and the fanfiction could explore how this different beginning affects their future together.
Another character could be Dr. Briefs, Bulma's father. In the alternate universe, he might have a more prominent role in bringing Vegeta and Bulma together. For example, he could be the one who arranges for Vegeta to work on a project with Bulma, which starts their relationship on a more professional note that gradually turns into something more personal.
The plot could start with Majin Vegeta's pride getting in the way. He might feel that Bulma is disrespecting his new power as Majin Vegeta. So, he challenges her to a fight. Bulma initially panics but then decides to stand her ground. She uses her knowledge of Saiyan physiology (from all the time she's spent with Vegeta and the other Saiyans) to find his weak points. However, she also tries to reach out to the real Vegeta inside. As the fight progresses, Vegeta starts to see how strong - willed Bulma is and slowly begins to break free from the Majin influence.
Often, Vegeta becomes more in touch with his emotions. He starts to care about things other than just fighting, like his family with Bulma. He may show more love and protectiveness towards her and their child.