First order of business, the Full HP Vet Sword in Tenochtitlan should take out that Archer to the NE of the city, to minimize loses, much easier to attack a Archer than defend against one, esp. with a Sword. Also there are no Aztec units close enough to attack the sword before the next turn, from that position
Unfortify the Sword at Valhalla, and send him packing for the front, unless there's something I'm missing about him.
After that we're gonna have to wait a turn, to regain movement, as the remaining Aztec archers and Jaguar's undoubtably "test" the defences of our city, or in the case of Tenochtitlan, he may pillage our farms and roads near the city. Afterwards, we need to move the 3 Sword unit north of Teotihuacan down to the next mountain to their south. (Thank God for multi-tasking as I try to spell the Aztec city names right).
The Next turn the swords on the mountain will go to the Insence tile Hill, the turn after that we'll take the city.
Once the Aztecs between Tlaxca and Teno (I'm getting lazy) are gone, send one sword south to Teno, when all are at full health send them to the city in the west, leaving two swords behind.