For just showing the share UI with icons, you probably want UIActivityViewController.

NSString* someText = self.textView.text;
NSArray* dataToShare = @[someText];  // ...or whatever pieces of data you want to share.

UIActivityViewController* activityViewController = 
        [[UIActivityViewController alloc] initWithActivityItems:dataToShare 
        applicationActivities:nil];
[self presentViewController:activityViewController animated:YES completion:^{}];

It looks like:

Documentation here.