I recommend the book "Chariots for Apollo : The Untold Story Behind the Race to the Moon First " by Charles Pelligrino and Joshua Stoff. I have this book but it's in storage. With my recent work on a flying Lunar Module Quadcopter, I wish I could read it again. And in looking for used paperbacks, I found this, most are $4.00 with shipping, so I ordered one.
https://www.amazon.com/gp/product/0380802619/?tag=skimlinks_replacement-20
Another option of course would be a library, see if they could get it on lend/loan from elsewhere if they do not have it.
There is also this NASA publication online for free..... with a similar title:
"Chariots for Apollo: A History of Manned Lunar Spacecraft"
By Courtney G Brooks, James M. Grimwood, Loyd S. Swenson
Published as NASA Special Publication-4205 in the NASA History Series, 1979.
Here is the link:
https://history.nasa.gov/SP-4205/contents.html
HOWEVER, that one encompasses the whole Apollo Spacecraft program from before there was even the idea for Lunar Orbit Rendezvous. So while it does cover the LM too, it is not the primary focus of the book.
Here's an interesting drawing, from this web page:
https://www.armaghplanet.com/blog/nasas-lunar-module-everything-you-need-to-know.html
It shows one of the earliest generic concepts for a LOR type lander when compared to the original idea of Earth Orbit Rendezvous (EOR using two Saturn-V launches) or "Direct" (needing a Nova) to land a CM/SM on the moon. It's a great comparison as to why LOR was such a much better way to do it.... if rendezvous could be done safely enough, and with extreme vehicle reliability to launch from the moon to the proper orbit (which was one of the biggest scary reasons, with many uncertainties, not to do so at that time).
The actual LM was bigger than that, perhaps that was sized for one astronaut (The Russian Lunar Lander was more akin to that size, with one Cosmonaut).
Here is a very early film from after LOR was chosen, which at 2:00 shows a hilariously silly way to get the LM, carried behind the CSM in the 3rd stage, up to the front of the CSM to "dock". Of course it was years before there was any real Rendezvous and docking (Gemini). Interestingly, this early Lunar Module shows the Ascent stage using the same engine as for landing, which was what the Russian lander design used.
[video=youtube;XsV1sMEzm-I]https://www.youtube.com/watch?v=XsV1sMEzm-I[/video]