Could look for a used bike when you arrive, may be able to get something better for less money.
You can also buy a touring bike from BikesDirect.com and ship it to where you'll be so you can just assemble and ride for less money. Spend all the rest of the money in the bike shop for the essentials.
I sold a used Bianchi to a guy from the UK who did the same thing. Route will be important as will visibility. Not sure of the comparison but drivers here may be less courteous than in the UK.
Feel free to abandon the bike at my house when you're in the LA area.
