Mirrors suit almost any home, which is part of why they're easy to get wrong. A narrow entryway, a dim bedroom, a rental with nothing on the walls yet, all of those get better fast with one mirror hung at the right height. Where I'd slow down is the house that already has a lot going on, heavy patterned wallpaper, several gallery walls, a lot of framed art competing for attention. Add a big ornate mirror into that mix and the room stops reading as decorated and starts reading as cluttered.
The clash I see most often is a mirror fighting with other reflective or metallic finishes nearby. A mirror with a bright gold frame next to brass light fixtures and a chrome lamp can look like three different rooms had an argument and this is the result. I'd also think twice about putting a large mirror directly across from a cluttered view, an open closet, a messy desk, a pile of laundry, because all a mirror does is double whatever is actually there. It doesn't improve a room's mess, it reports on it.
If you have none yet and want to start with one, make it a plain wall mirror in a simple frame, hung in whichever room gets the least natural light. That's usually a hallway or a bedroom with one small window. A simple frame in wood or a muted metal works with almost anything you already own, and you can build around it later rather than having to redecorate to match it. Save the more dramatic shapes and the lit up versions for a second or third mirror, once you know what the room actually needs.
What a mirror sits well with, in an ordinary room, is less than people expect. A console table under it, a lamp beside that, maybe a small tray for keys. In a bedroom, a mirror leaning against the wall near a dresser does more than one mounted dead center over the headboard, it feels like furniture rather than a fixture. In a living room, one mirror facing a window will do more for the light in that room than almost anything else you could buy, and it costs nothing to try moving it around for a week before you commit to a hanging spot.
I've hung mirrors in the wrong spot more than once, including one that spent a year reflecting a radiator and nothing else useful. Once it moved to the right wall, the whole room looked finished in a way paint never quite managed. A good mirror, hung somewhere it actually earns a look, is one of the cheaper ways to make an ordinary room feel considered.