Due to the Sunset of Tournaments, this question is outdated.
I was thinking about this lately. No matter if I had items bought in a Store inside a house (Casks or decoration) rented during a tournament or even other Store items inside my depot, will it always be conserved from one tournament to another if I didn't use all of it, no matter where they are? If they are conserved, should I keep it in my character inventory? I am afraid about losing stuff after the end of the tournament.