I want to get braces!

It enhances one’s shidduch prospects since the end result is that it beutifies one’s teeth.

Halevei that should be your worst concern. We’re all attracted to different things, some “offbeat.”
Hence, there could be someone going who’ll go absolutely bananas over braces, who knows?
On the other hand, if he only sees braces, you probably don’t want him anyway.

I wonder if this topic is confusing to the UK users, who use braces to hold up their pants.

I think if you can afford getting them taken off for the wedding and being put back on, you should get them. I just know a few people who had to do this and ended up not putting them back on because it was too expensive and too much of a hassle. If you are willing to do that if you Bezrat Hashem get engaged while wearing braces, than go for it!