If I were doing it VFR, I would go straight west to Friant, down the central valley to Shafter, roughly east to Palmdale, and then follow V137 to Palm Springs, while taking care to avoid all the restricted areas.
I would offset a little bit on V137, since the jet traffic going to Palm Springs is routed down that airway, and not much above the MEA by the time you get close to Palm Springs.
That should pretty much avoid all the MOAs.
If you can, I'd suggest doing it IFR instead. ATC knows if the MOAs are active, and will keep you clear (if necessary). I'd probably still file Friant -> Shafter V197 Palmdale V137 Palm Springs.
As for Van Nuys, after Shafter just keep going south. Much easier.