If you want to change your name as well, click “Change Name,” enter in a new name, and then tap on “Done.”.Tap “Me” at the bottom of the screen to open your profile page.Open the Twitter app on your iOS device.How to change your Twitter handle on an iPhone, iPad, or iPod Touch Bonus: Download the free 30-day plan to grow your Twitter following fast, a daily workbook that will help you establish a Twitter marketing routine and track your growth, so you can show your boss real results after one month.