If the tiles are stone could this damage them?

Whether they are porcelain or ceramic tile, using a steamer on them is a great way to clean them on a regular basis. Some people like the steam mops. I prefer a canister steamer for its versatility.

If you think it may be faux, you will find out for sure the first time you drop a glass or plate. Porcelain and ceramic tile will cause the dropped item to shatter and leave pieces everywhere.

I don't understand your example of how I will be able to tell if my floors are faux. If a glass is dropped on any hard floor it will break.

I have ceramic tile, hardwood, and vinyl tile in various rooms of my house. If I drop something on the hardwood or the vinyl, there is some chance that the item will not break. But hard tile is unforgiving - you drop something, it breaks.

I was not suggesting this as a test, by the way. It was just an observation.

I don't think WTA is wondering if they are vinyl, just porcelain vs natural stone tile. I can't tell from the photos.

Stone tile--along with porcelain or ceramic tile--won't be harmed by steam. The best thing would be to find a spot that isn't very visible and test different cleaning methods. In general though, ceramic, porcelain, rustic-looking stone are all pretty durable. (Some stone can etch from chemicals but your floor is textured enough that you probably wouldn't notice if it did.)

If you have a sealer on real stone, it might be removed with cleaning
incorrectly, but if your floors are grubby anyway, you'd want to reseal
so it might not matter.

It is likely porcelain. Look at the glazed cushioned edge. Not natural stone so much more forgiving to cleaning products.

Should I seal it even though I don't know if it is stone?

Dragonfly: I'm not sure what you mean about the "glazed cushioned edge". Are you saying the edges of the tile look smooth? I don't know how to identify glazed tile. My tile feels smooth.

Do I need to buy a steam cleaner? Would a brush be to rough?

Trust me, it's glazed and a brush is fine. And don't seal it until it's good and clean.

I need to seal tiles that are not made of stone?

Not the tiles, the grout

Thanks, Filipe. I don't know much about building materials or cleaning.