The majority, but not all, of the cards that can sticker or care about stickers are eternal playable (usable in Commander, Legacy, and Vintage).
Stickers stay on in any public zone (battlefield, graveyard, and exile), but return to the sticker sheet if they go to a non-public zone (hand or library). If a sticker goes back to the sticker sheet you can use it again with a different sticker it effect.
In constructed, you bring ten unique sticker sheets and randomly pick three before the start of each game. We will have an on-line tool to let you randomly pick any three sticker sheets. If you don’t have the actual sticker sheets, you are allowed to write on slips of paper. In booster draft, you keep the sticker sheets you open.