What can damage stepper drivers?

Hi guys!
I just got started playing with my new ramps and arduino boards. Super stoked. ^ ^

Just a question: does it matter which order I turn the power on and off for the arduino and the ramps board?
Will doing it in any weird order be able to damage the stepper drivers or anything else?
Unplugging the stepper motors while they are running will destroy the drivers right?



I want to be sure I won't destroy my dear precious boards you see :)