To tier a chiffon cake, you use dowels or straws, same as any other cake. The cake NEVER sits on cake, only on the supports.
You can bake chiffon cake in any layer pan. Look at the recipes section of cake central.
Chiffon cake MUST be inverted onto some kind of legs to cool. If your pan has ears, they can sit on other cake pans. If the pan is square, it can be supported at the corners inside a larger pan. Rig this up before you get started.