Cigars in movies are more than just a prop. They have dominated the scenes of movies for decades, adding that little bit of drama or sophistication to any film that includes them. Rightly so because...
If you've ever tried researching skincare products for men, you probably quickly realized you don't want to go down that rabbit hole. There's too much contradicting information on the internet.
So when being introduced, you need to stand up as a form of respect and acknowledgment for the other person. Also, standing when you meet somebody for the first time shows that you have a friendly personality and are eager to engage in conversation.
Start brainstorming and writing your toast as early as months before the wedding. A rehearsed wedding speech often will flow better than trying to wing it. You'll be less likely to stumble over your words, especially if public speaking isn't your forte.