Unity (rigged) clothes to a character

Hello! I want to make an application where there is a character walking and you can attach different clothes to that character - like t-shirt, jacket, trousers etc.

I have already made and rigged my character, and also animated it in unity. I also have modeled a piece of clothes - shirt. Now, how would I attach that shirt to my character in unity "in game"? I have read a lot about this, but I just couldn't figure anything out. One thing I tried and worked was: Rig the shirt in Maya to the same skeleton as my character, put it in unity next to my character "body mesh" and make it a "Skinned Mesh Renderer and set the Root Bone the same as Body's). Now that worked, but I don't want to do it this lame way.

Also, is it possible to have just a plain mesh (shirt) and somehow automaticly rig and skin it in unity using the body's skeleton?

I just want to import a piece of clothes when the game is running, and then it should attach to the character and animate itself with him.

Any ideas? Thank you very much!