Kidd would be my first aquisition. The team needs someone whose job it is to "Run the Offence". Kobe likes to call his own number too much. I think that with Kidd on the team (Keeping Odom and Kobe) the team would be a threat for home court in the first round of the playoffs ... Not Championsship good, but very good.
A trade like this (or signing) would make Kobe better as you can't double a player without the ball effectively, but it would also help Odom be more effective.
That would be my #1 priority .. A PG that the coach is willing to say "You are my floor general, take the ball and run with it" ... The player would have to have enough seniority to get his way with the ball distribution. (Kidd and Nash are about the only players that would fit the bill)
I think that with Kwame, Bynum and Odom I like the inside game, with Kobe I like the outside and slashing game ... They are a verteran PG away from taking that next step... but as I said it can't be just any PG