First let me say that I only have experience battling in the GBU. I have not tried PO because our computer is terrible and I tried the WI-FI battle finder once or twice without much luck.
I love to use Togekiss with follow me on my trick room team in triples or launcher. I usually have my trick room user on one side, and then Marowak or Belly Drum Snorlax on the other. A lot of time Togekiss will survive the sacrifice follow me because of its bulk, then I can use Air slash to try to flinch out one of the pokemon, or I usually pack Flamethrower and Aura Sphere if either of those has an advantage. Placing Togekiss in the middle obviously gives both my other pokes maximum protection and it allows me to use earthquake via Belly Drum Snorlax or Marowak. Also If my togekiss is slower than my designated Earthquake/Rockslide pokemon, I aim for the outside target of the Earthquake/Rockslide so that if that pokemon survices, it is finished off. if the outside poke is killed but the inside poke survives, it gets hit and if they both get KO'd, well you get the point.
I know this is not very imaginative, but in singles and rotation, I max out Togekiss's speed and use a choice scarf with Air slash. With a 60% chance to flinch, it is amazing how many times I can take out 2 pokemon that way. It really works well in rotation because if the opponent does not have priority, I can spam it to give them wasted turns due to flinch. Also it can make them hesitant to use earthquake.
Sorry I know a lot of this is stating the obvious, but maybe it will help some other noob who likes Togekiss
I have not used togetic before, but I think I will give it a whirl in trick room.