Dual screens with different resolutions I have my MBP connected to another screen with a smaller resolution. Thus when I want to move a window on the other screen, I have to resize it first to that it fits, then I can make it full screen again.

Is there a more convenient way to do that ?
I recommend that you use a window manager. I use Divvy ($14), which lets me press a one keyboard shortcut to move a window to the other monitor and resize it to full-screen.