Q&A for How to Move Icons on Android

Tap an empty space on your Home screen (no apps or widgets), then tap "Home settings/Settings" (this wording depends on the launcher you're using). Make sure the toggle next to "Add app icons to Home screen" is on and any new app you install from the Google Play Store will be automatically added to your Home screen. If you already have the app installed on your phone, open the app drawer (tap the icon or swipe up from the bottom of your screen), then tap and drag the icon to your Home screen.

Click on the folder and long press the app which you need to remove from the folder. Then drag out and release.

To delete an icon from your home screen, long press it and drag up and release it on the remove icon.

This can take a long time, but yes, you can organize your apps alphabetically, or in any order you want! Remember to hold down and drag the app.