Q.Care and fertilizing Arizona cypress trees
I have a windbreak of Arizona Cypress. I planted them as seedlings purchased from the New Mexico forest service. They are 3 years old and are irrigated. My question is when do I need to fertilize and with what type of fertilizer?

I recommend spring and fall fertilizatin with a slow release, complete organic fertilizer like these examples:
https://www.domyown.com/dr-earth-organic-all-purpose-fertilizer-p-9485.html
http://www.sustane.com/products/landscape/sustane-4-6-4
You can also mulch the soil surface with three or four inches of free brush/wood chips from a local tree service if available, to help retain soil moisture and suppress weed growth. The mulch will decompose gradually and add to soil organic matter and beneficial soil biology.