Dawn,
Making mushroom compost is really pretty easy, is just one of those weird things that most people never really discover. I will walk you through how I make Wine Cap mushroom compost, though most of what I mention will apply to Blue Oysters which have similar growing habits. I am just specifically familiar with the Wine Cap mushroom.
The first thing I do is make a raised bed for my wood chips. I like to use 2x10 lumber that is painted with a product called DryLoc. The Dryloc is like a paint made of thin cement. It will help protect the lumber from being destroyed by the Wine Caps. I like to make my beds 8'x16', but you can certainly adjust the dimensions to your liking. Once you have your bed set up, fill it with chips about 12" tall. This is important because the Wine Caps like to have an interface with the soil, so I try to set this in a place that you will have the garden set for good as you will essentially be making the mushroom compost on site.
When you fill the bed, slightly mound the chips to allow for settling. I like to then dig out 8 fertile holes in a 2x4 pattern and back fill with a garden bedding soil mixture. In these places I like to plant tomatoes because they give me shade and the tomato roots will interact with the mushrooms. You can use pretty much any plant you like, but tomatoes make a nice, tall bushy plant that gives nice dappled shade, but use what you want. Set aside the chips you excavated from the fertile holes for later use. Mark the holes with a tomato cage or stake or something so you can find the fertile holes later.
After the fertile holes have been excavated, backfilled and marked, dig more holes 6-8 inches across and deep and connect those little holes with little trenches about 2-4 inches deep. Now take your mushroom spawn and crumble it up a bit and spread in all the little holes. It is not a bad idea to leave a little lump or two in each hole just to get the fungus off and running. Spread in the trenches also. After spreading, fill in the holes with a layer of chips, followed by spawn and more chips till the holes and trenches are filled back to level. If you have any spawn left over, spread it on the surface. I used 2 5.5 pound bricks for this bed, but I might be tempted to add another 2 bricks to get things off and running faster.
Now that you are back to level, and all the chips and spawn are spread, thoroughly water the whole bed so that everything is evenly moist. You probably can't over water as the chips will only soak up so much water initially, but you do want the chips to stay damp. At this point I recommend laying down newspaper or cardboard to act as a evaporation barrier. Finally, lay down those chips that you were saving from the fertile holes, add a layer of straw (optional, but a good idea) and water everything again, plant your tomatoes and sit back and wait.
I am going to give you two links that might help.
https://permies.com/t/82798/composting-wood-chips-chicken-litter
https://permies.com/t/130092/mushroom-newbie
The first link is to a long running thread that documents my journey from being an absolute novice to having a basic degree of competence. The second link has a step-by-step set of instructions for making the beds. It is basically the same as is here, but there were a few minor modifications for a per who was trying to grow mushrooms under a pine tree. The pine tree part is minor and mostly irrelevant, but having a step-by-step set of instructions is helpful.
An advantage of building the compost this way is that you get to make use of the garden the first year for veggies while the fungus spreads throughout the wood chips.
The process will likely take 6-12 months to get your first mushroom flush. I started mine in spring and it took 12 months almost to the day to get mushrooms, but this was fine as to me the mushrooms are a tasty bonus and I am really after the incredibly fertile compost the fungi will make in the process. You can keep the process going after the first flush by adding another 2-4 inches of fresh wood chips on the top. The bed level might well drop 2-5 inches as the chips break down and over time they will become soft and moist.
Good luck with your endeavors. If you have any questions (I certainly did), don't hesitate to ask.
Eric