You could keep farming for strange coins, 13 for the armor and 23 for the weapon from Xur on the weekends. He also sells exotic engrams for 23 motes of light. Another way is to turn in bounties. Sometimes you will get an exotic bounty lead that will give you a spicific exotic item. The weekly nightfall strike may not guarantee you an exotic, you will get high level loot. That includes legendaries and a lot of rare materials. Finally there's the Vault of Glass. While running through with a group of 6 I've seen 3 exotics drop for them. Also a lot of ascendant materials, awesome legendaries, and badass class items. Edit: We aren't even half way through the vault, there is still much more loot available for us. Those are the best ways to get exotics. Sure you could sit and farm for legendary engrams, but your chances are much better doing the above missions.