Does deleting your Android apps data delete your personal files?
Clearing an app data DO delete files from your phone. Becuase those files are associated directly with the apps that you are deleting. Any other files which are not AUTOMATICALLY created by the app being deleted will not be deleted when you clear an app's data. 

So, go ahead and feel free to delete an app's data. But be careful deleting an app's data actually resets that app into a freshly installed app state. And if you delete the Google app's data chances are that you might lose some bookmarks, history or any preferences you have set previously.