Please help my south FL->CA trip must sees? cool stuff? general help!?

[BrianSFL]

Hello Eveyone!

Thanks for reading this and helping.I am a 21 M in very good health. As the title says I'll be going on a roadtrip this spring, probably March or April from Palm Beach Florida to somewhere in maybe California.
I will be driving a jeep grand Cherokee, there is pretty much no set route and I am trying to find some cool/interesting/informative things to do along the way. I know at the shortest I want to go is to see those HUGE Redwood trees and get a picture by em :D.

I like almost everything so I'm open and all suggestions will be seriously considered. I will be camping a lot of the time. and some sleeping in the car. I have about 30 days to kill but there really is no limit. I'm packing my usual camping stuff but is there anything else I should bring? the only thing that REALLY bothers me is the cold. any help in the form of routes,tips for traveling certain parts or just fun ideas will be appreciated. thanks again

add on: I have a coleman grill and a few propane canisters that I cook on and some organ coolers (yeah, the hospital kind) to keep food good, they hold ice for about 10-15 days. I have tents and go camping at least once a month so I'm used to that set up. should I vary much for a road trip? I figured it to be about mobile camping.