I was wondering about that... our LR carpet needs replacement hopefully in the next year, so I'm starting to figure that out at a DIY project. I should probably start a new thread. 
I just finished installing a vinyl floor in our motor home, so this is all very fresh in my mind. In our 29' motor home, the process took about a week.
Getting the carpet out from underneath the walls, cubboards, seats, and bed(s) is the most time consuming task of the entire job. With the dinette and some of the cupboards, it was possible to remove the hold-down screws, making it possible to lift it up off the carpet. I was then able to pull the carpet in and set the dinette (for example) back down on the wood floor. (And, ultimately, on top of the new vinyl -- a much better installation than butting it up to the edge.)
Unfortunately, you can't do that with walls, or floor-to-ceiling armoires. With those, the challenge is to remove as much carpet from underneath it as possible, so that the new flooring goes a bit beneath the edging. I tried many techniques, but ultimately it's a job that requires a needle-nose plyers and patience, cuz you just have to pull it out one "grab" at a time.
Your next challenge, if you want to use a sheet product, is to make a template. Use heavy "craft" paper that comes on a roll, and duct tape. Anything less will stretch or shift on you, rendering your carefully constructed template worthless.
I went with sheet vinyl because I didn't want 2,000 little seams to get full of sand and dirt. In the end, I was able to install the sheet with only a single seam, underneath the bedroom door. It took a lot of effort, but was well worth it, as it turned out beautifully. I'll get some pix up on my website in a day or so.
Good luck with the project.
