Welcome
@Nefarious.
I'm not from your area but I've done some research on it and maybe that will help get you started.
First, let's start with a definition for communications purposes. According to Bob Vila, "Mulch
protects the soil surface, while compost
feeds and improves the soil itself. That’s the core difference. "
So, let's talk mulch in Coachella. In your climate, you need a mulch that retains moisture, moderates soil temperatures, and resists blowing away in your desert winds. There is a pretty clear winner that meets that criteria.... Coarse Wood Chips would be the top choice for trees and shrubs and landscape plants. Excellent long‑term moisture retention, resists wind displacement due to large, chunky pieces, and breaks down slowly.
That choice is great for what it does, but if you are after soil improvement, you need to consider organic compost which adds nutrients and organic matter to the soil which helps retain water and improves fertility in garden beds.
Lots of other alternatives there such as straw, shredded redwood, gravel/rock, and palm fiber mulch... but of all these the consensus according to my research for trees, shrubs, plants is the coarse wood chips...recognizing that if soil improvement is important to you compost should be considered.
That should get you started...hopefully
