Regardless of what the Bulls do in these playoffs, i think there is a good chance their roster will get an overhaul this summer. I think we should help them out:
Pau Gasol for Luol Deng and Kirk Hinrich.
Why Lakers do it: Lakers save a little bit of money (1 million) and get two perimeter defenders who can shoot 3s, which they need. Plug Deng into the SF position and amnesty Metta. Both Hinrich and Deng are FAs following next season, so it wont affect the 2014 Free Agency.
Why Chicago do it: Chicago are getting back Rose, which will limit Hinrichs minutes. With Pau they get an upgrade over Boozer, who they can amnesty and then get under the cap (!), and with Pau, Noah and Gibson, they'll have a strong defensive and very versatile frontcourt. They will miss Deng, but with the emergence of Jimmy Butler, they can use the full midlevel on a SG as well as re-sign Nate Robinson.
Rip Hamilton instead of Hinrich. Only 1 million is guaranteed in Hamilton's final year, so he could be waived which would save the Lakers about 3-4 million (or about 10-15 million in luxury tax).
Include Taj Gibson. I'm not sure either team would do this, since LA doesn't want to commit longer than 2014. However, considering his price I think Gibson may be good enough for them to consider it. This, of course, is perhaps the reason why Chicago wouldn't do it. On the other hand, this would give Chicago a lot of options going forward - including giving them enough cap-room to make a run at a MAX deal in the 2014 Free Agency.