quick way to add chrome (or internet) shortcuts to home screens On  the iphone, under the Safari settings, there was an option ADD TO HOME SCREEN.

that gets quite handy to have direct bookmarks launchable from a single tap on the icon. 
How do you do that in the android world? 

I got a note 3 &amp; I'm dying to get this functionality in. 

http://cubiq.org/add-to-home-screen
From Chrome, first add the site you're interested in as a bookmark by clicking the little star icon. Then go to Bookmarks (from Chrome's menu), and long-tap the bookmark you just created. A context menu appears, and the bottom item is Add to home screen. If you like, first click Edit bookmark to set the label the bookmark will use: it defaults to the web page title, which isn't always what you want.

If Samsung is still shipping their own browser in the Note 3, the procedure is the same there, but the bookmarks icon is a kind of banner with a star, and the menu item is called Add shortcut to home.



Update March 2017

The above is now more than three years old, and the Chrome UI has changed since then. You can't add a bookmark to the home screen that way any more. Now, you need to visit the bookmark in Chrome, bring up the menu (three-dots icon in the top right), and choose Add to home screen.

The method of using Chrome's bookmarks widget still works. Long-tap the home screen, choose "Widgets", scroll down to Chrome in the alphabetic list, and drag the bookmarks widget to the desired place.