There are going to be a couple of guys available to the Bulls who last year would have been lottery picks. I do not see the Bulls going for a power forward in this draft what with Gibson and Mirotic likely on the team next year. I see shooting guard, small forward, and back-up center as priorities pretty much in that order.
The key to me is going to be whether or not Carmelo comes over. I'd say that right now, it is 70/30 that he does. Jackson or no Jackson nobody is going to magically turn over the dead-ass Knicks in a couple of years and he has to know this. If he does come over, I see them letting Hinrich and Dunleavy go and amnestying Boozer while trying to keep Augustine and bringing Mirotic over. With that scenario, I would expect them to go with a shooting guard, a swing 2/3 like Saric, and a big center with their picks. Its is an ideal situation in that GIbson, Mirotic, Noah, and Butler are pretty selfless players and I think that Rose can truly concentrate on really being a point guard with Carmelo the prime first alternative.
The line-up would be the best in the entire NBA:
Starters Bench
PG -- Rose Augustin/Croft
SF -- Melo Saric
C -- Noah Stein
PF -- Gibson Mirotic
SG -- Butler Levine/Snell
IF Melo doesn't come, my preference would be to bring Deng back as long as he doesn't want a big contract. This would be ideal to me in that it would be a seamless transition and that Thibs would be very happy. If Deng is the guy, then they can keep Dunleavy. This means also that shooting guard takes priority in the draft. In that scenario, the team would look something like this:
Starters Bench
PG -- Rose Augustin/Croft
SG -- Butler Young/Snell
C -- Mirotic Stein
SF -- Deng Dunleavy
PF -- Gibson Mirotic