But hey, they're not charging me by the letter, so I'll share it here:
Terminal multiplexing gives you wings, especially when you're sshing into another server. To run it, try:
tmux new -s mysession
This will create a new session, where you can use extensive ctrl-based shortcuts to split open new windows and play around with them. For starters, you can use Ctrl-B + % to split your screen horizontally. Do it vertically with Ctrl-B + " and you now have 3-4 windows which you can navigate using Ctrl-B + → and the other arrow keys.
If your SSH session gets broken while you're working on other stuff, you can always rejoin your session and hopefully save some of whatever you were working on.