I think you'll find it easier to have your compost bins on the surface. Emptying them if they are buried in the ground is going to be a challenge I would have thought. You also need to let the air get to your compost as it is working.

There is a composting system called Green Cone
https://www.greencone.com/index.html
where the waste goes into a plastic basket buried underground. The cone sticks up out of the ground - not all that high and collects heat (you need to install it where sun shines on it) to make the waste rot down quickly.
I had one til my OH built a garage where it got shaded. I found that a rat kept trying to dig it up. I'd wrapped the underground basket in wire mesh so it couldn't get in, but the tunnels it dug every night let in flies so that it was a "keep your mouth shut moment" when opening it to put more stuff in. Eventually the rat gave up as I kept filling the holes it dug with rocks and stones every day.