Its such a damn shame that Rose can't stay healthy. They would be one of the top 2-3 teams in the NBA for sure with him.
JPX, what do you want the Bulls to do in the offseason? What can they afford to do?
It's a tough question.
They really need to bring over Nikola Mirotic.
I believe they will also release Boozer via the amnesty-provision, and then probably employ a Gibson–Mirotic PF rotation, if they can bring him over. Regardless, Gibson has looked improved on offense this season, and is likely ticketed for a starting role in 2014–15.
They'll have two first-round draft-picks, both likely in the 10–20 range. They really need a backup to Noah that isn't Nazr Methuselah; if Willie Cauley-Stein is still on the board, I think he'd be a great option to fortify the front-court. Whether it's from the wing or point position, they should look for three-point shooting with their other choice.
I'd like for them to re-sign DJ Augustin, given his renaissance with the Bulls, along with their need for a back-up PG (Hinrich's contract is up after this season, and he probably won't return unless he wants to play for the veteran-minimum) and the obvious uncertainties surrounding Rose's legs. Fredette's probably the only other of their impending-free-agents whom it would make sense to bring back.
As for free-agents currently playing on other teams: I think I've pretty well talked myself out of Lance Stephenson, after his play the past couple months—coupled with his
personal history, the salary-offer he'll likely garner as a restricted free-agent, and his general lack of obvious fit with the Bulls (not being a great three-point shooter). Meanwhile, after the trade of Luol Deng—and following years of dispelling the idea—I think I might have finally talked myself into Carmello Anthony; provided he leaves the Knicks, I think the Bulls would be his first preference.