I use xfce, and have Alt-Left half width full height on the left, Alt-Right does the same on the right. Alt-up is half height, full width on top, Alt-down on bottom, and Alt-F10 maximise.

I tend to only use the mouse to point to the window I want focus on, although on the occasion I do use a mouse I have it that dragging to the top/bottom/left/right does the same behaviour.

I had to really think about those shortcuts (on my phone at the moment) as it's just muscle memory.