I can appreciate that you're new to the DPS role, but this post is textbook handholding. The forum search function is a good start if you're looking to get a breakdown on how to maximize your damage.
I normally tank but for DS I have been forced to go DPS for the one tank fights. I prefer to DPS in Arms spec, (never tried fury).
One issue I am having is what is the best way to use my cool downs and in what order should I pop them? Is it better to roll them from the start of the fight or burst them during bloodlust? I have 1 on use trinket, shattering throw, a shout (tier bonus), recklessness and Pots. Is it best to CS before popping cooldowns or after wards...