You've already had some good adivce in here. I'll add this.... the bit that I think is the worst is getting from Long Beach to Palos Verdes. You'll want to take Anaheim St (go to Google Maps and zoom into any section where you're buidling your route and then hover over the "layers" icon in the lower left of the map and when the "biking" icon pops up click on that - it'll help your planning a ton). There's a segment in and around the Wilmington neighboorhood that offers everything terrible for cyclists: rail road tracks, rail road tracks that are at an angle to the street, junk yards and all the metal shavings/glass that come with them, literal junk yard dogs - many of them chained up but he's charging pretty hard... is that chain gonna hold?
If you're gonna do this in a day (doable) then take the inland side of Palos Verdes (via Carson & Torrance) as it's flatter/faster. If you're goinig for the joy of the journey then take PV Drive South to PV Drive West for the magesty of the Pacific and Catalina looming.
Another note - one of your biggest gaps without "resupply" (to bring a bike packing term into this) will be from Malibu to Ventura: PCH & Trancas at the north/west end of Zuma beach in Malibu (market there called Vintage Grocers with a great prepared foods bar - of if you roll in late there's a Chevron station) to a big ass mall on Channel Islands Blvd near Victoria in Ventura. It's only 27 miles, it's pretty flat but you wouldn't want to go blazen by Trancas nearly empty and get denied at Neptunes Net (it's the only game in that stretch and they can be funky).
Lastly, when you come off the bike path at Rincon and you want to get to Carpinteria... Don't ride up the on-ramp to the 101. While it's legal there's no zen in that. If you're on a road bike take this route here:
https://ridewithgps.com/routes/43202518 and if you're on a gravel bike take this route here:
https://ridewithgps.com/routes/43202537 Ian
Ian Murray
http://www.TriathlonTrainingSeries.com I like the pursuit of mastery
Twitter - @TriCoachIan