Add your Twitter page to your App using the Twitter Tab. This Tab will automatically pull content dynamically from your Twitter page and present it to the user.
Go to the Manage Tabs section, then the "Media" category and add the Twitter Tab.
This will bring up the Tab Editor.
Click Continue, then enter your Twitter "@" username and click Save.
Alternatively, you could use an External Link Tab to show your Twitter page.
The App user will be able to sign in to their Twitter account and "follow" your Twitter page from directly in the App.