I replaced the carpet in my 1999 Scamp 13. I liked the results.
1) Removing the old carpet is the most difficult part of the project, since it is glued down to the floor and the foam backing partially disintegrates during removal. I found the easiest way was to use a utility knife (replace the blades often) to cut the carpet into about 18" strips and also cut the carpet around the benches. Another alternative is to remove the benches which is normally not too difficult. My trailer had some minor modification done to it previously that make that a much more difficult proposition.
Start at one end, and pull the carpet strip up while using a hand held floor scraper (available at Home Depot in the flooring department) in the other hand to loosen the glue/foam where it sticks to the floor.
2) Once all the carpet and most of the glue/foam is out, I used a small belt sander to remove the remaining glue/foam residue. The floor must be smooth or the imperfections will show through the new vinyl flooring.
3) Use this stage to do a thorough inspection of the condition of the wood floor. I found a soft area by the door, apparently from a leaky door prior to my ownership. At first I thought I could just use a hardener, but decided to replace this small section of floor. It was a pain, but not impossible with my limited construction experience. If you are well versed, it should be a very easy project. Gave great peace of mind, knowing that the entire floor was in good shape prior to re-covering it.
4) I installed the Home Depot adhesive strip Allure flooring. VERY easy once you get started, and it held up very well for two years until I sold
Good luck on your project, any other questions, just ask.