How do you like to do weddings in your game?

Names- it depends on the situation and the characters. More conservative characters follow conservative gender roles. Other characters do what's right for them.
I also have a slight bias in favor of the names of my sims and premades, and against randomly generated townie names. Randomly generated townies who marry into the family are a little less likely to keep their names or pass them on to their children. But some do, if it fits their story.
I'm not really big on hyphenation because what do you do for the next generation, hyphenate again and again forever?

When Salim Benali and Tanvi Savalani got married and had a daughter Laila in my game, I almost gave Laila the surname Benalani :) But that family already has a child Sai Savalani (Tanvi's from before she married Salim) so it was only fair that Salim got to have a Benali offspring.
I might have sims combine their surnames at some point in future, depending on the characters and the names.

I do like to make an occasion out of the weddings, even the simple ones; generally by the time two sims are getting married, they haven't seen as much of their family and friends lately, so the wedding is a chance for them to reconnect with those relationships, as well as introduce the new spouse to them.

I often don't bother with the goaled wedding event.

I don't usually bother/remember to add wedding rings in CAS, but it's a nice idea.

Some favorite wedding pictures in the spoiler