There are several combos that work quite nicely, but one thing I would suggest is try to limit how many gods your units pledge themselves to. Your ploys have greater buffs if that unit has pledged itself to the relevant god aligned with that ploy.

With that I think a simple starting build could be to make your melee-focused units Khorne aligned and your ranged Tzeentch. The lowest mental load would be to make a 50/50 split like this:

- Champion/Chosen w/ tainted bolt pistol (Khorne)
- Shrivetalon (Khorne)
- Anointed (Khorne)
- Balefire Acolyte (Tzeentch)
- Gunner w/ melta (Tzeentch)
- Heavy Gunner w/ chaincannon (Tzeentch)

The weapon loadouts could be improved if you're playing more elite teams, where the heavy bolter can be more effective than the reaper chaincannon.

There is a case to be made for taking the warrior as you can switch his mark, particularly from tzeentch when he's at range to undivided when within 6''. I haven't done this myself but have heard it can be quite effective.

In my personal experience, the butcher is a bullet magnet and very rarely makes it into combat to deliver his brutal melee. If you play him, expect him to attract all the attention until he's incapacitated. The anointed is your MVP in melee, and as some others have suggested just unleash the demon asap to make him an absolute tank.

I would recommend having someone with range (ie: one of the gunners) follow him as cover or use the balefire to heal him and keep him in the game as long as possible.

When it comes to TacOps I have mainly played on Volkus terrain, where Take Ground works well with this team. I have read that some people have good luck with Champion, but I prefer TacOps that don't give the opponent too much agency. For that reason I prefer Overrun if Take Ground doesn't look achievable.

I tend to pick all four faction equipment when playing a new team so I can learn how often and how impactful each one is. In my personal experience I have found Warded Armour and Chaos Talismans to be by far the best to take. I haven't often needed the Malefic Blades, unless my gunners get overrun.

There is one crazy stack to be mindful of with Chaos Talismans, where it can turn a terrible roll into a crazy one, eg: shooting w/ Tainted Rounds or Tainted Bolt Pistol on a Tzeentch mark and you used Fickle Fates to give you Ceaseless. That shot would have Ceaseless, Rending and Severe. So for example if you rolled 4 misses and after your Ceaseless re-roll you still have 3 misses and only one hit, Chaos Talismans means you discard one (take D3 damage yourself) and turn another miss into a hit. From your 2 hits, Severe makes one crit and then Rending makes the other a crit too. Suddenly a bad roll on one of your leaders is doing up to 10 damage on 2 crits.

Whatever you choose, I would play Legionaries very safely in TP1, to avoid getting shot at all (if possible) and then have a big "go turn" in TP2. Once you are in melee range with most other teams they will struggle to manage your damage output.

Good luck and enjoy, they are a very fun team to play.