@tmcgahey so very helpful of you!
Not sure where to start on this backyard–the plants have very dissimilar water requirements so this combination will be nearly impossible to set a schedule for.
I can’t tell from the photos what the shrubs are, but sago palms don’t like to have roots wet. Queen palms don’t have very deep roots–they tend to spread rather than grow deeply like trees and usually are less than 4 feet deep. Once temps reach 100s, they need to be watered as often as 4 or 5 times / week. Having these plants on the same drip is not going to work.
The trees in the front in the grass will probably be OK with the water from the grass, but it’s not the best situation.
Too many times I have seen a saguaro planted in the middle of a lawn! When summer rolls around some these plants will not make it to fall.