Can you help me with itinerary for Arizona and California two week vacation? How long should I stay at each?

My wife and two children (7yr and 1yr old) are planning a two week driving vacation of the south west. We are leaving by car from Las Vegas Apr 20th. We are traveling on a low budget and love nature and hiking although with 1yr old we won't be doing anything super long hikes. We would like to see the following: Zion, Bryce Canyon, Petrified forest, Sedona, Grand Canyon, and Sequoia and Yosemite in California, Death valley and Hoover dam might be of interest too. We would need to be back in Las Vegas on May 2. I know this is a lot in this time but this may be our only trip to this part of the country and would like to see as much as we can. Can you recommend how to split up our time in each place and the absolute must see places at each?