Hoping the Bulls go with this option:
Draft and waitThe Bulls won't be able to negotiate with Anthony until July 1, five days after the draft. So they might decide to make the picks and see what happens on the free agent front. If Anthony doesn't work out, the Bulls just keep the players they selected.
If the Bulls decide they do need to clear cap space or want to include the draft picks in a sign-and-trade deal, the picks can be traded anytime if they are unsigned. Or they can be traded 30 days after they sign contracts.
The second option might actually work better for the Bulls if they end up with a deal to send assets back to New York for Anthony. Once draft picks are signed, their actual salary counts in trades and, in theory, the Bulls could give Anthony more money in a sign-and-trade than they could if he simply signed as a free agent.
Another possibility is draft a player who could stay in Europe for at least a year, maybe Switzerland native Clint Capela. Then that player's rookie salary would not count against the Bulls' cap space, but they'd keep his rights.
http://www.dailyherald.com/article/20140621/sports/140629681/