Another possibility is that you have clogged pipes. Most often, these are galvanized pipes with a build-up of calcium. The noise you hear is due to turbulence of the water flow, and this is especially noticeable in corroded pipes with a rough interior surface. Sometimes the straight runs of pipe are OK and the restriction is limited to bends (e.g. at risers and shut-off valves). So-called “high pressure” per se is rarely a cause of noisy pipes, if those pipes are properly sized, well secured, and have smooth internal bores. You could certainly try a PRV. It might reduce the noise, but even if it does, the “real” problem is likely to be pipe/valve restriction and/or turbulent water flow caused by rough internal pipe surfaces.