either in, or near SOCAL, where could you see one of those really big, not necessarily tall, redwood or Sequoia trees - or something similar ?
I don't even know where to start with this one. I've done so many trips all over California from San Diego to San Francisco and out to the Sierra Nevada and beyond.
It's really all going to be down to what you want from your trip. There are so many amazing places to see and stay that you are totally spoiled for choice but you can easily waste your whole time missing them all and spending time in places to avoid.
I always base myself in Long Beach and go from there. It's a really great place that's just out of LA enough to be comfortable. Not a long drive to San Diego and you get get cheap budget hotels etc if you want as they are everywhere. Apart from the beaches though anywhere south of LA tends to be the less attractive parts in my opinion. If you head to the mountains or Yosemite, Seqouia, Mammoth Lakes etc then it's amazing scenery.
The best part of San diego is the Gas lamp district for bars and restaurants and it's a great city.