When I was writing this a month ago, I had no idea where I was going to make this go, so I decided to stick to one of the famous AU story plots.
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They were done with the ship three months after Bulma's father had come back. She had Vegeta to help her to the top and get her to where she needed to go. She had completely forgotten how ruthless he was. He only helped her so she would finish his ship (with Bulma occasionally black mailing him to taking her on non-business trips ^.^).
She walked into her lab, which seemed to grow stranger to her every day. She could have sworn she'd left things in different places than they were. Must have been her father. She collected the important things and left.
Vegeta, however, was in deep thought, walking along the backyard. "I must say myself that I have become slightly impressed by this race. I have become increasingly fond of the woman, which is quite unlike me. This race's brilliance makes up for their strength. This can be useful to Vegetasei…"
So, he went up to Bulma, whom he saw just came out of her lab, and told her he was leaving in the morning and he was taking her with him.
"What?" she asked shocked and confused.
"Say goodbye, cause I'm taking you with me whether you want to go or not," he said. He then turned to leave.
"Fine with me," Bulma said shrugging her shoulders. Vegeta stopped and turned back around. He was the surprised one, now.
"I was going to ask you take me with you anyway," she said.
"But… why?" Vegeta asked, eyeing her suspiciously. Bulma shook her head.
"You don't get it, do you? You are the first alien to ever come to our planet. It would be a dream come true to visit another planet. I don't have anything here, anyway."
"You have power and money," Vegeta pointed out, looking for an excuse to take her by force.
"It's nice having that, but there are more important things. I want to explore, see new sights. I've seen the world, but now I see that there's an even bigger world to explore," she said wisely. She'd obviously given this decision great thought. "I've already said goodbye to my family and friends, and I've collected my things."
"So then we'll leave now…"
-----When they arrive at Vegetasei------
The ship swept down upon the capital, which seemed to be in good order by Vegeta's standards. Bulma, however, watched in opposition as a few occasional explosions occurred and people ran around sparring each other in the middle of the streets.
They landed in front of a giant, gold and blue palace with a blood red symbol above the giant entrance.
Seeing Bulma in awe of the symbol, Vegeta came up beside her, carrying a box of capsules, which before would have been tons of luggage.
"It's the seal of the Royal House of Vegetasei," Vegeta said simply, walking past her and opening the doors. Bulma looked from him back to the seal, which she stared at for a few more seconds and then followed Vegeta in.
She found herself in a splendid hall. Golden curtains covered the walls between each of the doors, each with the red seal on it.
"You may want to keep this until you familiarize yourself with the layout of the castle," Vegeta said, handing her a scouter. Bulma took it and shoved it in her pocket. They continued to walk down the long hall, until they came to a set of doors that looked identical to the entrance ones.
Shoving it open, Vegeta stepped inside, motioning for Bulma to follow behind him. She did so, finding herself in a grand throne room of pure gold.
"What took you so long, Vegeta?" a tall man asked Vegeta.
"My ship crashed Kakarot, and I got someone to repair it," Vegeta explained, setting the box of capsules down on the table. The man named Kakarot looked at it.
"It's a storage device. I'm going to go decapsulize them outside, since you don't know how. I'll be right back," Vegeta said, leaving Bulma and Kakarot alone. Bulma pulled a single capsule out, clicked the top, and dropped it by her feet. A backpack emerged. Kakarot stumble backwards, surprised.
Bulma laughed. "That's the same thing Vegeta did," she explained. "I'll explain it to you later." Kakarot quirked an eyebrow.
"He lets you call him Vegeta? Not many are allowed to call him by only his first name," he said.
"Well, I told him since I wasn't from his planet, I'm not one of his subjects, therefore I'm not going to call him his Royal Highness," Bulma said, digging through her backpack and pulling out a Coke.
Kakarot smiled, liking her attitude. "What's that?" he asked. Bulma sighed.
"It's Coke: the greatest drink on my planet. This is the last drink I'll ever get of it," she said, pretending to be truly sad for this and taking a big drink of it.
"Can I try?" Kakarot asked, seeing how she shivered from the caffeine.
"Sure, go ahead," she said, wiping her mouth and handing him the can. He drank it in a gulp, resulting in a series of coughs.
Bulma laughed. "Your not supposed to just let it drop down your throat! You're supposed to let it set for a second of two in the back of your mouth before swallowing it!" she said.
Kakarot pounded his chest to stop from coughing, setting the can on the table beside her backpack. After he stopped, he said, "That's strong. I'll be right back," and left Bulma alone for three seconds.
He then busted back through the doors and help out a goblet to her. She took it and looked at the contents.
She took a sip, letting it sit in the back of her throat.
"Wait! Your just supposed to-"
Her eyes rolled back and she fell unconscious to the floor. Kakarot managed to grab the cup before she dropped it. (Must have been precious stuff.)
"-gulp it down," he finished.
Vegeta came back, levitating a mountain of luggage behind him. It all dropped to the floor when he saw the unconscious Bulma He looked at Kakarot.
"I guess she's never drank Saiyan ale before…"
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Next chapter, Bulma finds out she bit off more than she can chew.