Yeah - getting an idea of the kind of things you enjoy will help guide the advice you get. If you've been to other parks overseas, what did\do you like\enjoy and what aren't you a fan of? If you haven't been OS before, what do you like \ not like about our local parks?
Beverly Hills isn't really super ideal for the LA run, but I guess if you've got decent access to transport - your own car etc, then not a big deal.
Without exploring any of the other factors, for me, I would suggest Disneyland is still worth the visit even if you are going to WDW too. Disneyland is the original, and there are many little touches there that aren't present in the later versions. There's a sense of history there - walking the streets that Walt walked. There are also attractions that are unique to both sides of the US - and of course DCA has its uniqueness as well. Sadly Star Wars Land is slated for a 2019 opening
Depending on what appeals to you, don't pass up an opportunity to visit a Six Flags park. Magic Mountain is usually the first suggestion for an LA based trip. Typically for the coaster junkie, given the park has the record for the most coasters in a park, and there's truly an offering there for everyone (except maybe Pushbutton).
San Diego can also be worth the trip for Sea World if that appeals to you (noting that SeaWorld definitely has more rides and attractions than Sea World.
Since you'll be so close though, don't pass up Knott's. It's how I wish Dreamworld could be (within budget constraints), and it truly has some very unique aspects that make it well worth the trip.
Don't Miss \ Must See \ Do (my opinion only):
I can't help you with Florida - its still on my wish list, but for LA:
Knotts - catch Mystery Lodge. Ride the steam train and horse stagecoach. Ghostrider, Silver Bullet, Xcelerator, Montezooma - well, all the coasters really - while some aren't the newest technology, each has it's own little place. Sadly you've missed out on Boomerang which closed this year (bucket of shit though they may be, the V. Boomerang is special for me).
Universal - Jurassic and Mummy, don't miss Animal Actors or the Special Effects show, and of course the backlot tour.
Disney - Space, Splash, Mansion, Pirates, Big Thunder and Indy - for me, in that order (if they're open). Aim to catch Fantasmic, and the fireworks if you can.
DCA - Not sure whats happening with the park at the moment - haven't kept up to date but I know theres a huge reno going on. Again, if open - Cal Screamin', Midway Mania, Soarin' and of course World of Color.
SFMM - Revolution for me is a classic, but i think more because its one of the most featured coasters in film rather than for any ride quality. Still a classic though. X2 is completely unmissable, and with the array of coaster styles in the park, you've got to try each one - Tatsu is my number one there, and Riddler's for the unique stand up position, and of course the classic twist on Colossus.