There's no need for the Lakers to actually get another big package in exchange for Westbrook. It's another chemistry building again which the Lakers suck.
Keep everything on the core and just revamp the bench. Give it a season more before considering breaking again the core players. The cycle will just never stop.
That's actually the key.
They just need to explore more with their options on what they actually have right now and that's the bench. Also, you're right, it will take time for another chemistry to be built and that could affect early games that they've got.
I'm sure that most teams would like to win their early games and it's no longer just a testing phase as it's always serious for them when it's all about those matches.
The problem last season to them is they are really in bad shape because they suffer from injuries and heavy upset due to their current environment. If they just build up this core and find solution to the problem for sure they can give a shot to their current line up since they are actually a respective stars on their past teams. Maybe fans and them expect to much to their current line up that's why frustration surrounds them while the season is running.