They don't 'shuffle' and there is no such thing as a draft.
Clubs sign players as any company would sign employees. Players often sign multi-year contracts, which can be sold to other clubs, allowing the bidding club to sign that player for their own team.
At the end of a contract, players are not obligated to renew their contract and can simply walk free from their club, and be signed to another. This is known as a 'Bosman' transfer, named after a player who took his case to European Union court.
I didn't mean literally "reshuffle"...lol. And I'm not new to sports in general, far from it. The contract process isn't really different here
But I appreciate the info, thank you very much
And next comes figuring out to do all the nifty shit on FIFA properly