Does Vegeta love Bulla?

Although Bulla often appears by her mother's side, she is very fond of her father. Vegeta dotes on Bulla and tends to spoil her, and she is one of the few people capable of making him smile. However, Vegeta's affection for his daughter may be particularly responsible for her later becoming hard-headed and stubborn.

Is Bulma happy with Vegeta?

After Majin Buu is defeated, Bulma is so happy at Vegeta's accomplishment in saving the universe that she confesses her love for him and welcomes him back when he returns.