[Intense1920]

I don't think that taking your husband's name equivalates to a woman being a man's subordinate. Let him take her name, shoot let them come up with their own name whatever makes them happy. I will have my father walk me down the aisle. I am a lot closer to my father than my mother anyway. I'm not too fond of the father "giving" away his daughter scenario but I found some solutions that I like.
The celebrant: Who gives this woman to be married to this man? The bride’s father responds: She gives herself, with the blessing of her mother and father.
Or instead of the word "gives" insert "brings" and the father could respond "her family does".
There are a lot of options..