Orthodontics at your age will take at least one and a half to two years. In other words, it takes two years from the beginning of filling teeth to taking off braces. In addition, after the braces are removed, you need to wear braces for about 2 years.
Here is a suggestion: if the teeth have little effect on the shape or occlusion, it is not recommended to do plastic surgery such as correction.
If the impact is big, don't worry about anything, just do it directly. What if the person you like doesn't want to be with you because of wearing braces, and then gets married and has children?