How hard would it be to build a few small shelves that would be sturdy enough to hold some trophies? We have several trophies that have sat on my dresser for years and I'm ready to move them.
Depending on how elaborate you want to be with the shelves, it's not very hard at all. If you are not very skilled in wood working then you could buy and already made shelf and just put it together.
Homemade shelves? 
Linear Mode
