The riding trainer is in a building that is outside of Silvermoon a little north west of the gate.
EDIT: If you are looking at the Map (hit "M"), the stables are SE from the gate, make a straight line down from the "V" in "Silvermoon" on the map and it points right to it.
The warlock trainer in Ironforge is in the Forlorn Cavern. To get to the Forlorn Cavern, you can head east from the Mystic Ward or west from the Hall of Explorers.
Ironforge Tinkertown
Ironforge is located in Dun Modr
See below in the related links for a map to the Goblin riding trainer, Revi Ramrod.
Ironforge is the home city of the Gnomes and Dwarves
In Undercity, the riding trainer is located in the War Quarter, specifically near the entrance to the area. You can find him in the building known as the "Riding Academy." Look for the NPC named "Riding Trainer," who can help players learn to ride various mounts.
You do not actually go to Ironforge for a Ram mount - instead, go outside the gate into Dun Morogh, and follow the road East. At a certain point, you will see a small road heading North into the mountains, to the Amberstill Ranch. This is where you can get Ram mounts and riding training.
ironforge
work with it for about a month ,lounging it ,riding it. or send it to a trainer
king of ironforge
You can not get blade training in ironforge, but you can get it in stormwind. take the tram if you don't have the FP. I am pretty sure you can get it at any level.
Old Ironforge was really big and a bit of a maze, so easy to get lost in. All shops and trainers were at that point at ground level, so old Ironforge was closed off to prevent people wandering through empty streets.