Being a veteran Halo player (Notice i said Veteran, not Pro. Veteran as in "Played halo for a -blam!--tillion years") One thing i used was grenade spots, for those who don't know what a grenade spot is, it's using the terrain to make your grenade go to a place it otherwise wouldn't.
While running around on Firebase Delphi i managed to pick out a few decent little spots to help you get the Edge.
Note: These spots require a grenade that bounces, they will not work if your grenade sticks or activates where it first hits, These also work best for the "Control" gametype but you can still use them in pretty much anything else.
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Giving out tips on Destiny's multiplayer feels like giving out tips on how to most effectively watch paint dry. It's a nice thought, but it's pointless & just not worth anyone's time