Velcro Cable Covers
Don't get me wrong, I love gaff tape. But sometimes there IS a better tool for the job. And if you have any floors with thin, office-style carpet, that tool is Velcro cable covers. I found these several years ago after feeling like I was wasting miles of gaff tape every time I needed to reroute cables on our stage, or run temporary cabling somewhere for a special event. And yes, even the good gaff tape WILL leave residue if left in place too long.
To be clear, Velcro is a brand name of hook-and-loop style connectors, but Velcro is a lot easier to type than hook-and-loop, so that's how I'll be referring to it, even though I've not actually used any Velcro branded cable covers.
Velcro cable covers solve these problems any place you have carpeted flooring, particularly thin office-style carpet (they do not typically stick well to plush home carpet). They leave no residue and they can be used over and over again. Additionally, they can be cut to length if you need shorter sections. When finished, simply pull it off the floor and roll it up. Adding cables to an existing cover is relatively easy without having to pull up the entire cover. Simply peel up one side, tuck the new cable in, then push it back down. I keep a box full of gray and black lengths handy for all sorts of cable management situations throughout our facility.
The most commonly available colors are gray and black, though you can find some variations on browns and tans too. I have noticed that the gray can get a bit dirty looking after quite a bit of use, but they clean up well with a damp rag if that bothers you.
One other thing to be aware of is that some of these cable covers are entirely covered in Velcro on the bottom, while others have two strips of Velcro along the edges only. The later are generally easier to use and still hold just fine to the floor.
If you have carpet, and often need to lay and reroute cabling, do yourself a favor and pick up some of these cable covers.