Patch 3.3 went live and now [Emblem of Triumph] is the new base currency for purchasing gear. With the new Dungeon Finder system, farming emblems is easier than ever. I've gathered together a list of all the gear that a Tankadin might want to purchase with Emblems of Triumph.
In case you're having trouble finding where to spend your emblems, don't feel bad as it's a little confusing. The T9 gear is only sold by the Triumphant Armor Vendors at the Argent Tournament Grounds in Icecrown: Aspirant Forudir (Alliance) and Aspirant Naradiel (Horde). For the non-tier pieces, talk to the Emblem of Triumph Quartermasters: Arcanist Asarina (Alliance) and Magistrix Iruvia (Horde). There's also various vendors around Dalaran that sell the non-tier pieces.
There's a five-piece item level 232 "of Conquest" (Tier 9) set:
There's two item level 245 non-set pieces:
There's a new trinket, ring, and libram, all of which are also item level 245:
You'll notice that certain gear slots are neglected in the Emblem of Triumph selection: cloak, neck, wrist, waist, feet as well as the second trinket and ring. If you can't fill these slots with drops or crafted items, you can purchase items by downgrading your [Emblem of Triumph] to...
[Emblem of Conquest]:
[Emblem of Valor]:
[Emblem of Heroism]:
The only two remaining slots that cannot be filled with Emblem gear are your weapon and shield. While farming dungeons, with any luck you'll fill those slots, and you'll probably come across a few items that are better than some of the lower level badge gear:
Finally, I should note that the first random heroic you do each day with the Dungeon Finder awards two [Emblem of Frost]. It will take a while, but there are a few very desirable items that can be purchased once you save up enough of them. Note that the consensus in the theorycrafting community is that the new Libram isn't that great and you should spend your badges on some of the better pieces first: