Here's my first idea: trade Ariza and Booker to the Bulls for Taj Gibson and Kirk Hinrich: http://espn.go.com/nba/tradeMachine?tradeId=n4yrsqv.
This gives Chicago some cap relief (they're worried about going over the luxury tax threshold if Gibson earns a contract bonus for All-Defensive Second Team), while still giving them two solid contributors with expiring contracts.
We'd get a long-term defensive stopper down low in Gibson, and a sorely needed backup PG. We could still resign Gortat over the offseason - a bigs rotation of Nene, Gibson, and Gortat would be very good.
We could also trade Trevor Booker for Steve Blake (and throw in Singleton on our end and Shawne Williams from the Lakers for salary purposes): http://espn.go.com/nba/tradeMachine?tradeId=lfdh2zm
The Lakers are a terrible offensive rebounding team, so they could definitely use Booker. They also have four capable point guards on their roster (Nash, Blake, Farmar, Marshall) so I don't think they would be that adverse to parting with one. Finally, this would give them about $1 million in cap relief, which they'd definitely value because of the $$ they have to shell out for the luxury tax. Blake would help this second unit immensely, and hopefully Harrington could fill Booker's minutes once he's healthy.