After the Frieza saga, Bulma let Vegeta live at her place. Vegeta was a little demanding during the time, but Bulma learned to see past all that and soon developed feelings for her.
bulma thought vegeta was cute
bulma pick vegeta because she love him
Vegeta
There is no episode to which Bulma and Vegeta get married. Although, sometime in the series, Vegeta does refer to Bulma as his wife, but like I said above, no episode of the two getting married.
after vegeta joined goku
Vegeta's wife is Bulma Brief.
dear bulma cries for her dear vegeta in season 8 eps 252 or 253
Yes.
they get married.
yes.
Bulma Jr.
Goku was never shown commenting on Vegeta and Bulma's marriage; however, he seemed to approve and was genuinely happy for them.