I am planning a car camping trip to see the National Parks in Utah on my way to my son's home in Los Angeles. I am thinking about visiting Arches, Canyonlands, Bryce and Zion. I am retired and time is not a problem. How much time should I devote to each park? also any advice on car camping on public land would be appreciated. I am thinking of staying at BLM campsites and would welcome advice. I will be there early October.