Hey there! There are many people in their 20's and 30's who wear dentures for various reasons. You'll get used to them in no time, just like wearing contact lenses or glasses. You'll have a beautiful smile that you'll be happy to show.
Don't ever feel you have reason to "hide" yourself from the world. You are a beautiful, wonderful, important person and anyone that would have a problem with your dentures would not be someone worth your time or friendship. So relax and enjoy your new beautiful smile!