A common conversation I have with brides and grooms is “what side do I stand on?”. I really dislike this question, only because it implies there’s a correct side and an incorrect side for a bride and groom to stand on in a wedding ceremony, which there isn’t. They’re just sides, not battle stations.
In a wedding there is the traditional standing or the “does it really matter?” standing. Let me explain the difference.
The traditional standing sees the groom on the right, or stage left if that works for you (if you’re looking at the bridal party from the guests he is on the right), and the bride on the left. This traditional wedding standing order comes from the groom needing to easily access his sword and be able to defend the marriage ceremony taking place, usually because he has just kidnapped his bride and there’s a fairly high chance of sword fighting. And his sword is on his left and he’s right handed.
Sometimes a bride and groom could stand on the opposite sides of their parents so they can look at them for encouragement and their parents can see the emotion on their faces during the ceremony. But then some people want to stand on the same side their family is sitting on so they don’t get distracted. Some people, brides and grooms, have a “better” side for hair or makeup. So that’s a good reason to stand on a side.
Outside of that tradition I can’t see any reason for their to be a correct side for a bride or groom to be on.
It’s a personal decision.