You'll also probably change your weapons based on what section of the raid you're in. In some sections you want shotgun/HMG, then sniper/Rocket Launche in the next section.
My weapons of choice:
VOG: Hung Jury and then I don't recall. I've only done VOG twice and it they were stand here, shoot there runs.
Abyss: MIDA, Sniper, heavy doesn't matter. You're just trying to get through as fast as possible so you want high agility
Bridge: Scout, sniper, HMG or RL
Deathsinger: Scout, sniper, Sleeper for the whatchamacalums that chase you when they explode, then Dragon's to clear up the adds
Crota: Scout, Shotgun
Ship jump: MIDA for agiity
Totums: Hung Jury, Black Spindle, RL
Warpriest: Hung Jury, Black Spindle, HMG
Golgorath: Hung Jury, Black spindle, HMG
Jumping Puzzle of rudeness: MIDA
Daughters: Touch of Malice, sniper, RL
Oryx: Touch of Malice, sniper, RL
I basically run Genesisi Chain, Shotgun, Gjally the whole raid.