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CaD
300 - Fateweaver
305 - Lord of Change w/Level 3 Psyker, Impossible Robe, Greater Reward
45 - 3 Nurglings
45 - 3 Nurglings

Infernal Tetrad
230 - Khorne DP w/Wings, Armour of Scorn
330 - Tzeentch DP w/Wings, Level 3 Psyker, Paradox, Greater Reward
285 - Nurgle DP w/Wings, Level 1 Psyker, Grotti the Nurgling, Greater Reward
310 - Slaanesh DP w/Wings, Level 3 Psyker, SoulStealer, Greater Reward

Psychic Powers
This army list brings the following psykers to the game.
Fatewaver Head - Level 4 Psyker
Lord of Change - Level 3 Psyker
Tzeentch DP - Level 3 Psyker
Nurgle DP - Level 1 Psyker
Slaanesh DP - Level 3 Psyker
This gives a total of 14 levels of psyker. That is a lot of dice being thrown out every round!

Thoughts
I am thinking that the best warlord table to roll on is Tzeentch -- though Khorne has some nice ones as well.
I'm not sure how this army would do overall. Does it just fly up and assault everything? Does it fly around and try and shoot everything? I'm curious to how it would play out.

I'm building this too, though I'm going to fit it into the full Daemonic Incursion to see how that goes.

Without a way to control the warp storm table you may get screwed on some turns, but I guess you'll have to live with it. May be worth making Fateweaver the warlord even though you'll lose that nice effect for the princes.

I don't think grotti the nurgling is a good choice here, it will also reduce the toughness of your own guys who may accidentally get too close. Keep Fateweaver up in the air and the others will have to play depending on your objectives and your opponent.

One other thing, the Daemon Prince of Tzeentch can't take paradox so I'd swap that with the LOC and give him the impossible robes.

Game play wise I'd think you'll have to play a gliding game depending on your opponent.

Jesus daemon players are brutal now. I have many many FMC, but the danger is massed fire. If they have enough bolter shots, or dakka flyrants, or poison deldar, or poison gargs/ gaunts, you are in for some trouble. Dropping 2 FMC a turn is not hard for a good player if they focus all their shots. Plus, you need to worry about alpha stikes to the face and first turn assaults to tie up FMC from flying away

I think you should find a way to get Belakor in the list. As much as I LOVE the LoC, having Belakor would make your whole army more survivable.
Belakor, Fatey and the Princes all fly up staying within 6" of Belakor who pops Shrouding. Now your whole army has a 2+ Jink. The Nurgle prince already has Shroud, so he can go off a bit by himself if needed.

Unclean One is right about Paradox, it's Heralds and LoC only, so that's another reason to drop the LoC and put the robes on the Tz Prince.

Thanks for the pointers guys!

I'll adjust and repost.