Search this question and you get sixty beautiful solutions, roughly fifty-five of which require a carpenter. That is not much use if you rent, or if your entire budget is a hundred dollars and a free Saturday. So this guide sorts the options by the only filter that actually matters: what you are allowed to do to your home. Nine solutions across three permission levels, with real costs, plus the four hidden costs of hiding machines that no gallery mentions.
Short answer: If you rent, hide a washer and dryer behind a curtain on a tension rod, a folding screen, or a roller blind, all under $50 and fully reversible. If you own but do not want building work, use a freestanding cabinet unit, a sliding barn door, or bifold doors. If you are renovating, integrate the machines into cabinetry with panel-ready doors. Whatever you choose, leave ventilation gaps and add anti-vibration pads.
Disclosure: This post contains affiliate links. If you buy through them, I may earn a small commission at no extra cost to you. I only recommend pieces I would genuinely use in my own home.