Reading your post a second time it sounds like you may have one of the plastic tube tails? I have a couple of elegantly simple winders for tails that are not too wide or bulky. Of course these aren't for those times it's pouring down rain and the lightning is getting closer.
They are simply a large dowel about a foot long with a smaller dowel hooked down one side giving it a fork type arrangement. Again
start in the middle placing the tail around the larger rod and under that smaller one, then roll it up with a spinning motion of the handle. You only need one because after it's rolled up you can slip it right out and use it on the next one, don't wind it real tight and it'll flatten out so you can secure it with a rubber band or velcro strap around the middle. Whatever you do it's twice the work to work from one end, I fold in half whatever method I use, flat or tube tails.
We have tails up to 640+ feet long

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