Double-Vaal: Trigger them one after another, so you can blast one before the other one even spawns. Easiest of the fights, you don't really need any survivability unless your dps is too low to kill them during their first add-spawn animation. If your dps is too low for that, portal out and don't come back.
Trio: This is by far the hardest for a totem-build that doesn't have good dps. Since you are unable to target a specific mob, you will have the tittybitch up longer than you want. With your current defenses, you will get stunned when hit by the rain of blades and die in less than a second. If you can manage to kill the tittybitch quickly, this fight becomes trivial since you can just run circles while your totems kill the two dudes. Should be doable since you can just drop all your totems close to the tittybitch before you start the fight, and even if your totems decide to target one of the other mobs the GC should still hit her due to the big AoE.
Atziri: Get 5k life+the corresponding MoM pool. Get 2ruby+2topaz+quicksilver flasks, any two of your flasks should have staunching on them, the others increased duration. Drop totems, pop your flasks, run around like a headless chicken and try to avoid getting hit by any of the spells. If you still get hit, your flasks should easily let your survive with enough hp to take another hit, which enables you to just portal out and refresh charges. If your DPS is high enough to not get an add-phase but low enough to not insta-phase the boss, you will want to portal out to refresh flask charges once they've run out.
Whenever you do portal out and get back in again, you will always want to move before doing anything else. She will immediately start throwing her spear which hurts like hell and applies a heavy bleed. That's what the staunchings are for. After portalling in, pop your staunching quicksilver and drop totems whenever you feel safe enough to do it. During splitphase just make sure all totems will hit a single mob. Atziri is not as scary as long as you dont get one-shot or die to two consecutive hits without having the ability to react.
Flasks for the bosses
Double-Vaal: Whatever boosts your dps. You may want 1 or 2 topaz if you want to keep fighting after they resurfaced.
Trio: 2xGranite, Basalt, Quicksilver, Stibnite. 2x Staunching. Quicksilver to move around, Granite+Basalt to not get stunned in case you get hit and basalt also reduces the damage you take from running over the physical-degen ground while kiting. Staunching because the bleed-guy hurts if he hits you with his cleaves. Stibnite is amazing because blind is op.
Atziri: As mentioned above, 2x Ruby/Topaz and a Quicksilver to move around. You can exchange one of the resist flasks for a life flask if you want, but the aim here is to not get hit at all because you will most likely get stunned, panic, and run into more shit. If you feel a life-flask makes you more comfortable then do that, this fight is all about not panicking because you will fuck up if you do and die.
Switch to the new flasks after the previous boss-fight, since there is only magic-packs between each boss filling them up is no problem. You will have to waste a portal if you forget though.