i have one i made that is a piece of plywood, about 20" by 48" that i put casters underneath and then took pvc pipe about 1' long and a cap on one end that with a long bit i screwed through the cap into the plywood. while mine doesn't hold that many rods you can make it any size you want. i spaced the pipe based upon the distance to keep the reel handles from getting tangled with another. i can roll it anywhere and by being so close to the ground even my 13' rods don't touch the ceiling.
next time i am at my beach house i can take a pic to show you if needed.