Soil from scratch on rocky ground?

I am writing from here in the Rocky Mountains, which, strangely enough, are mostly rock. (Go figure)
You can stab a shovel into any given spot and it goes in approximately 1 inch before hitting a rock!
I guess technically there is some soil in and amongst these rocks, but natively it mainly grows sage brush and field grass.  Dwarf "scrub" oak in some places if we're lucky.

Of course, I want to turn that into something more useable but since there's not a lot to rejuvenate I'm thinking I'll need to start from scratch and build on top of what's there. (Up until now I've been doing container gardening but I feel I'm outgrowing that stage.)

Does anybody have a soil recipe / recommendations for building up basically from scratch?

I'm relatively close to both city and rural so I could get yard waste (leaves/woodchips) and probably manure from local dairy farms for free.

P.S. I don't really have any equipment, so suggestions along those lines would be helpful as well.

Build beds to hold all composts.   Then after filling them plant in them.

https://permies.com/t/151401/ways-garden-beds-add

If you were growing in 2ft by 2ft containers, its now time to upgrade to 20ft by 5ft wide raised beds that are 24inch high. I would get a couple of these 100sqft beds.  (Think biointensive farming, see picture below).

BioChar Method
-turn a 14 cubic yard truckload of woodchip into 7 cubic yard of biochar.
-(the raised bed is about 7 cubic yard = 200 cubic feet = 20ft x 5ft x 2ft).
-I would add alternating layers of biochar and manure to the raised bed,
-after 3months or so plant your vegetables
(I make bio-char in my old grill and also in a trench every so often https://youtu.be/I1jAo7qd_Q8 )

Jean Pain Method
-build a woodchip pile that is 5ft high and at least 6ft wide, (~ 7 yard)
-then cover with an inch of leaves or finish compost,
-thoroughly wet it then cover with a tarp for 6 months.
-after 6month it is done and you can add it to your raised bed and grow your vegetables  

If you look at those scrub oaks you might be lucky enough to find some black gold aka leaf mold or hummus.

We made soil from bags of dirt, horse manure, and that hummus for oaks.

How about coffee grounds from coffee shops?

Soon it will be time to find bags of leaves as they are a good source for mulch and making leaf mold.

Have you started your own compost pile?

Are there any mushroom growers in your area?  They often offer free mushroom compost.

Growing your own mushrooms.