It can only be traded by giving someone else permission to edit/place furniture in your personal/FC house.
The furniture costs 3000 for just towels, 5000 each for the Chocobo Chair and two tables, 7500 for each of the banners.
Music rolls cost 5000/10000 each, yet can be traded. And they very slowly adds more music over time, that can also still be traded/sold on the market.
I personally don't understand this, more so when certain types of furniture are super limited in theme (And how SOME items of those themes are cash shop only with them never having bee able to be obtained in game during an event as far as I'm aware)
And it's such a stupid small list of furniture that's in the PvP shop, it's just a bad idea to put anything else there, even more so if they can't be traded/sold on the market like music rolls.
And yes, I'm saying this because I'm working on decorating my house and have had people offer to sell me the items, but because they're on different servers they can't be given housing permission to deposit the chairs/tables that I need.