Mobile homes when permanently installed.

Prefabs & ADUs sometimes.

RVs at drive in & out parks.

ADU = Accessory Dwelling Unit

RV = Recreational Vehicle

Are Travel trailers what you are interested in? In my area, a RV is self propelled, i.e. has an engine and operates like a motor vehicle.

In Florida, the owners call them manufactured homes or housing or houses. They get quite insulted if you call them trailers.

Calling them trailers is correct., nothing wrong with calling them that. They still call it a trailer park where my aunt lives in Fl.

Yup - trailer homes, mobile homes, caravans (if you're across the pond). Manufactured homes include trailer/mobile homes, but it's a category that also includes other types of homes including multi-story houses, tiny houses, and even shipping container homes.

The info you may want to get from the guys who make them will come up if you search manufactured homes. They meet lower HUD standards for construction.