Ok, Last summer (2014) did a Sequoia/Yosemite trip from Nevada. That being said It was my 2nd trip to both places stayed at different locations each time but these were truly the best:
If you're going to be coming up from Los Angeles, You'll hit Sequoia first. There are two ways to get in.
1 - Thru the south entrance fro the town of KernVille. A few Campground in Kernville, CA. About $40 - 45 or so USD per day with Town of Kern and amenities close by along with Lake Isabella.
The other is the west entrance to Sequoia and is only 3 miles from the west Sequoia entrance in the town of Three Rivers, Calif. It's a small town with just a small store for necessities and a couple of gas stations (one has diesel and both are expensive $5 at the time I went). But Sequoia RV ranch is peaceful and a small creek runs thru it. Lot's of trees and most sites have a concrete pad. Also has Internet service. As stated a few miles to the entrance. Redwoods are at top of mountains. A "Discovery Center", is there. Beautiful lake(s) surround the area.
Check out the URL's below:
To go to Yosemite from Three Rivers (Sequoia) is about a 4 1/2 - 5 hour drive. I highly recommend http: Yosemite lakes RV Resort. They are the closet and run by Thousand-trails but they do except the public. They are the closest to the entrance to Yosemite (which will still take at least 1/2 hr) and have amenities for the kids and adults. They have internet if you park close to the Clubhouse. You better have Sat TV or DVD's. Check out the url below:
The other is Yosemite Pines..... Dusty, minimal pads, and about 20 minutes further (you pass them as you go to Yosemite Lakes RV).
Anyway, that's my input. Hope it helps you decide. Have a safe and joyous trip.