I have the Bulls as a below average team overall - they end up having a very favorable travel and rest schedule, which helps their projections by about 2 wins relative to other teams. Plus they're in the East, which helps as well.
As cheech notes however, they are a total mess from a spacing point, so I think they're a fair bet to underperform. My model loves Mirotic though, which is a saving grace. He has a lot of shooting "gravity" which opens up the court for other players. If his shooting declines, then they're in for a world of hurt i would guess.
With respect to the request for confidence intervals, I redid the projections to simulate the season 10,000 times which let me generate them. As you can see below, it doesn't make much of a difference (like, at all). The old method is in yellow on the left, and the sim method is in green:
The "Beat Vegas" is how often they number came in over the Vegas total in the simulations. Obviously this is wrong, as it assumes the errors are normally distributed, which they aren't in real life. (Plus, like, my projections could be wrong, like that Warriors number...).