Mmm, Edvard, how about a separate thread for that list of yours? 
-ewemoa
Great idea. I'll include more in-depth comments, some how-to links, and list a few more I found that were missed this time. Maybe even *gasp* use a few of them to see what happens. Might take a few days though.

To remaster Linux Cinnamon, which one of the above would anyone recommend?
-bit
Probably the most recent and updated would be Live-Magic for Ubuntu/Debian, Revisor for Fedora, and (just found this one)
SuseStudio. Remastersys used to be the go-to tool for remastering Ubuntu, but development has stopped and is likely to go stagnant soon unless somebody comes up with a viable fork. I've seen folks still reporting using it recently, so it may be an option.
Do I need to be working from a HD with Linux, or can I work from Win 7 32-bit?
Most of those tools are Linux-only, so yes you'll need to be running some form of Linux from HD, and be warned many don't have websites to read documentation from, so YMMV.
One exception to the Linux-only requirement is SuseStudio (see link above), which is browser-based. You simply tell it what you want, it builds your custom Suse remaster on their cloud servers, then serves you a download. If you're OK with Suse, it's prolly the easiest.