The dock is the row of icons at the bottom of your screen. And the drawer is where you see the grid of icons. I'm primarily a nova user, so I haven't tinkered with apex much. Someone more familiar with it than I can take you through the in and out.
Here is the thing about android, as you have discovered. It is all about choice. Whenever I talk to someone about using their phone, I tell them up front that if they ever tell me they don't like an app, or a layout, I'll going to tell them to go to play, and download an alternative. Your launcher, as an example. Nova and Apex are the two mentioned here. But hit play and search "launcher" and see what happens. So the same with "dialer", and so on. As another user said, the hardest part of rooting/unlocking has been done for you. This opens up a couple of possibilities for you, outside of flashing. Learn titanium backup. Also, research doing nandroid backups in recovery (these create a total image of your phone, from the kernel up, as it is when you perform the back up). If you really want to start getting dirty, aokp has a theme manager. Look up aokp themes in play, and find something that you like, make a nandroid back up, and flash the theme. And if you're eyes just glazed over at that last statement, I understand. I'm not saying do it now. Just demonstrating some of your possibilities beyond home screen modifications, if you do choose to take it that far
Swyped from the land of unicorn porn