I don't know where the LA FSDO is, but I'm sure if you ask Rainbow nicely, then someone will either give you a lift there or arrange transport for you, or tell you how to get there. I imagine its within 30 miles of LGB, which is about 15 minutes up the highway the way they all drive over there
You can get the aircraft info from the POH for the aircraft itself, after you do your checkout, go and sit outside [watching the planes] and fill out your questionaire. There's also a pilot shop where you can buy the POH's [generic], so I'd recommend getting one. Makes for useful reference, though you should only use the aircrafts own POH for flight planning purposes [thought I'd get that bit in before someone else did
].
Cheers
EA