Highly recommend Nova Launcher for S3
I highly recommend replacing the touch Wiz launcher with nova launcher. I have found it much more intuitive, and much easier to use. (I am not affiliated with Nova in any way.)
1. The bottom bar (dock) of apps is highly customizable, with as many apps as you choose. You can also create multiple pages of docked apps, so it's possible to access 10 or 15 apps on the lower dock.
2. The App drawer is automatically alphabetized, unlike touch Wiz, which I find so much easier to use. There are of course workarounds on touch Wiz, but why bother? I just dock the icon for the app drawer on the lower dock so it's always available.
3. Nova has one step back up of your screen layouts so that if you are wiping your phone regularly in order to reflash ROM's, it's trivial to reset your screen layouts by doing a restore from nova. This saves a lot of tweaking time.
4. You can customize the layout of your desktop with variable margins, a persistent search bar on all pages, gestures, and with nova launcher prime ($4), you also get unread counts for SMS, missed calls, and Gmail, which is very nice.
5. Basically everything is customizable and modifiable. I greatly prefer it over the stock touch Wiz launcher. Check out the free version of nova, as it has virtually all the features other than the unread counts.