Multiplayer online player characters selection

Hi I've a problem with my multiplayer online project, so I've a different kind of characters that I can select and customize using the loots discovered during the matches. Once chosen the character I can create or join to a lobby to play online with other players, but I when the match start I see the model of other player as mine. How can I save a reference "offline" of my player and instantiate my character and the other avoid that problem? I use Unet