Here is how to easily change your Facebook name right from the official Facebook application.
You don’t need your browser to do this, all you need is the FB app, which you probably have installed.
For Android devices
1. Open the app, then on the News Feed interface that comes up, tap the icon with three horizontal lines, that is the more button from the top-right corner of the screen.
2. Scroll down, and Tap Account settings
3. Tap General, once opened tap on your name.
4. Now clean the old one and put the new name, then you click review changes.
5. When the next page opens put in your pass word and save changes.
For iOS devices (iPhone iPad)
The steps are basically the same, except one or two differences.
1. Open up the iOS Facebook application.
2. Once opened tap on the More button (the three horizontal lines, this time the button is downwards)
3. Scroll down, and Tap Account settings
3. Tap General, when it opens tap on your name.
4. Now change the FB name to your desired one. And click review changes.
5. When the next page opens put in your pass word and save changes.
Note: You can only change your Facebook name once every 60 days, that is roughly once every 2 months.