You should coil most of it around a 3# coffee can to increase the cooling path and surface in the kettle. All but about the last 3 feet on each end (depending on the depth of your brew kettle. Should have about a 1’ overhang on each end to keep drips out of the kettle.
And you can eliminate some of the sanitizing hassle by putting the coil (without water hoses being connected) into the brew kettle for the last 15 minutes or so. Might as well let all that nice boiling hot liquid do the work for you...
Quick-connect garden hose fittings and garden hose work well to bring the water to that very hot pot full of boiling stuff. And to take the warm water to wherever you need it.
“relax, don’t worry, have a homebrew”
Good points!