Muon decay ring design, shielding, and compatibility with potential neutrino detector sites are a critical part of the International Scoping Study (ISS) for a Neutrino Factory. Two rings are under development: a racetrack and an isosceles-triangle ring initially for a muon energy of 20 GeV, but upgradable to 40 or 50 GeV. Neutrinos from the muon decays in specially designed production straights can be directed to one or two distant detectors. The racetrack ring has one very long production straight aligned with one detector, while the triangular ring has two shorter straights aligned with two detectors. An initial site survey of accelerator laboratories and distant detectors has been made, along with the required tilt angles for the planes of the rings.. Injection, collimation, and RF system design are covered in this paper. (Lattice studies are covered in a separate contribution to these proceedings.) Heating and activation effects of beam loss in the chamber walls and components will also be presented.