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What sort of cage/enclosure are you going to be showing them in and how big. I can tell you that pigeons are not grasping birds so they do not like to use rounded perches but they can use them in a pinch.
I dont show pigeons but there must be many images on google. Search for show pigeons or perhaps pigeon shows .
I took a look around myself for you. first off, here is an excellent article from Oregon State University on showing pigeons at the 4H level. It explains lots including the construction of perches.
I also looked at images of pigeon shows and it appears that most birds are kept in a small cage without perches. Search google images for show pigeons.