How do teams win games?
Score more points than their opponents, duh.
However, in that simple statement several things are lost. Scoring points and stopping your opponent from scoring points needs to happen on a per possession basis not on a per game basis. Many teams hailed as great offensively and terrible defensively are really neither. They just speed up the pace of the game ramping up everyone's totals. The same can be said of some teams giving up relatively few points.
In the end, if a possession is defined as a trip down the floor, than a team has no more than one possession more than it's opponent each game. How may points you score and give up per possession is the key to victory.
So now we've taken an obvious point, and tried to make it a bit more specific. In order to ramp up your ability to score more points per possession there are simple principles to follow, and denying those principles will improve your defense. The idea is to take as many high efficiency shots as possible.
So what are high efficiency shots? Obviously an elite player, can create good scoring chances when he has a mismatch situation or single coverage, however, for the rest of the guys who can't create efficient offense for themselves you hope to get ones in the following categories:
Break away / transition opportunities that lead to dunks/layups/fouls are the most efficient scoring chances in the game. In the NBA, few guys miss an open layup, and most guys can beat a defender one on one on the break or force a foul.
An open corner three is the most efficient jump shot in the game. It's the short distance three, and most perimeter players in the NBA can knock this shot down consistently when open, plus it's worth the extra point. Open threes in general lead to efficient scoring, but it takes a high caliber shooter to hit the ones from the wings or up top.
Shots in the paint from post up play or from players attacking the basket lend to efficient scoring due to proximity to the basket. Obviously the closer you are to the hoop, the easier the shot typically is.
Garbage baskets (offensive rebounds, open dunks due to penetration, and sometimes dumb luck) create easy scoring opportunities for the offense where a big man merely needs to hit an open dunk.
Open jumpers from anywhere are good shots. Even the loathed long two, is a good shot if taken wide open, because the hit rate for most players on that shot is quite high when open. NBA players simply hit open jumpers more than they miss.
What type of shots kill an offense?
The worst shot in basketball is a long, contested, two point jumper with movement (turnaround, pull up, etc). The shot yields two points, has difficulty in terms of additional movement, and is defended.
Defended two point jumpers in general are bad shots, while most plays knock down an open jumper, the conversion rate goes down considerably once the defense gets into play.
Defended three point jumpers are typically terrible shots as well. While they may score three if they go in, the conversion rate on them is low.
Players trying to score in the paint when it's packed with defenders make for bad shots. Sure up above, I said shots close to the basket are good, but not when your primary man is on you and the opposing center and power forward are clogging the lane and you decide to try and shoot anyway.
So nothing about these lists should surprise or shock. Every team knows what it needs to do to score efficiently and what it needs to do to defend efficiently. It needs to craft it's offense to get as many high efficient shots while taking away as many as possible from it's opponent, so how does this effect the Bulls?
The Bulls don't have many shooters. In fact, they have one. Kyle Korver. On the surface, this seems to destroy the team spacing and limit one type of efficient shot opportunity.
However, it's not as bad as it seems. Watch NBA defenses closely, and you'll find that few shooters really space the floor. Teams aren't hanging on top of Roger Mason or Kirk Hinrich because they can hit 37% of their threes. They're content to sag off those guys as much as Ronnie Brewer and hope they can recover in time (which they typically can).
In general, teams in the NBA, always give the weak side shooters a lot of space and hope to recover in order to help shut down the paint. As such, only the truly elite shooters really have someone chasing them around all day making sure they space the floor. Thus, while the Bulls don't have as many decent to decent to good shooters as last year (assuming Rose/Deng don't make large strides), having one elite shooter may provide more spacing than having multiple decent shooters.
The downside is that having one great shooter may provide more spacing than two good shooters, but two good shooters provide more punishment for not defending them than the one great shooter who remains covered up. Thus the Bulls may play with more space this year while Korver is on the floor, but they'll get probably shoot far less threes due to a lack of other players who can hit them.
In order to make up for the lack of threes the Bulls need to focus on the other areas of efficient scoring.
Derrick Rose can start a fast break quicker than all but a few players in the NBA creating a lot of easy opportunities for the Bulls. The Bulls should play uptempo and force the action in transition before defenses can get back to crowd the paint. Even in non fast break opportunities, they can score effectively through early offense which are plays every team has designed to run while switching ends of the court. Getting as many opportunities in early offense and transition will help offset the lack of spacing the Bulls have.
A Boozer/Rose pick and roll will create the mismatches that lead to efficient offense. The defense can no longer automatically double Rose, because an open Carlos Boozer will score at will against them. This allows Rose to get into single coverage against a big man, or against a guard trying to get around a Boozer screen. Either situation creates an opening that Rose can use to create an efficient look for himself, or find an open target if the defense overreacts.
The next key will be quick ball movement from side to side, typically through swing passes or working through the high post big man. Defenses typically face the ball and crowd the strong side (ball side) of the court. Moving the ball from strong side to weak side quickly forces every defender to reposition and change direction. In their repositioning lies the split second that the off-ball cutters can make cuts to the basket, to take advantage of these types of shifts an offense needs players in tune with each other and with excellent basketball IQ and passing skills.
Finally, drawing double teams in the post will create open lanes for cutters and open jump shots around the perimeter. The Bulls finally have a player who can draw those double teams down low to open up the floor for the wings on the perimeter, and on top of that, Boozer's an excellent passer which will allow the Bulls to benefit from the double coverage he receives unlike when Eddy Curry was sitting in the low post.
With back screens, quick movement, and good passing from the PG, PF, and C, the SG/SF will get lots of easy shot opportunities off of cuts and open jumpers. The Bulls might have the best passing starting front court in the NBA, so they should be able to facilitate quick ball movement whether it be out of the low or high post.
I foresee the Bulls offense running a lot of Boozer/Rose pick and rolls while Noah sets baseline screens for Deng, Brewer, and Korver. They'll come off the screens for open jumpers or basket cuts. The primary options will become Rose working against a mismatch, Boozer, on a mismatch (or left alone), a pass to a cutting Brewer/Deng, or a pass to an open Korver.
When the initial pick and roll doesn't generate the type of look the Bulls want, they'll either swing the ball to switch sides of the court, feed the low post off the pick and roll to look for a cut/shot, or simply reset up top to generate another pick and roll.
How will it all come together? Only time will tell, but the Bulls have the offensive personnel to consistently create mismatches that will generate easy shot opportunities for the team.