Builds!
Any endgame content in GW2 can be better with a good build! Convergences are no different. I'm not going to create a bunch of builds for you, as there are already plenty of websites for them.
Build Sites
Here are some GW2 build websites in alphabetical order:
Accessibility Wars
Accessible Builds for the Guild Wars 2 Community
Discretize
International high-end fractal guild
GuildJen
GW2 Builds for PvE, PvP, WvW, Raid, Fractal, Strike Missions, Open World, Solo, Group, Events, Story, etc.
Hardstuck
High-end and LI builds for all game modes.
MetaBattle
A wide variety of builds for all game modes.
SnowCrows
Optimized Raid, Beginner, LI and Open World Builds.
Adjustments for Convergences:
note: Power builds benefit from the items below, while others do not. Therefore, it is recommended to bring a power build to convergences.
SotO and JW items
These items work in both SotO and JW convergences.
Powerful Potion of Demon Slaying (1 hour): 10% Damage vs. Demons, Kryptis, and Titanspawn. -10% Damage from Demons, Kryptis, and Titanspawn.
Superior Sigil of Demon Slaying 3% Strike Damage, +7% Strike Damage vs. Demons, Kryptis, and Titanspawn. Totals to 10% Strike Damage when satisfied.
Relic of the Eagle 10% damage when enemy under 50% hp.
Swap to Eagle when transitioning to the third boss phase (start of 50%).
Consider taking a stacking sigil to convergences. They're easy to build up during the phases before the boss spawns.
SotO only items
SotO Convergences are always at night, making the Sigil of Night useful.
Superior Sigil of Night 3% Strike Damage, +7% Strike Damage at night. Totals to 10% Strike Damage.