Since you have a metallic structure you will probably use a car-type antenna (unipole), using the shed as the ground plane. A car antenna will come with a piece of coax already going out from it. Given the 100MHz range of FM signals, you can use RG-59 cable to bring the signal to your radio.
What's the radio that you're using? A portable one with a whip antenna? Or a radio from an old car, connected to a power supply? Else?