Types of rental trailers. There are many different trailers that a person can choose from when they are getting ready for a move. Flatbed trailers are one of the most common. These come in all different sizes. Flatbed trailers do not enclose the items within, which means they are exposed to the elements. Typically this isn’t a huge problem, but for long distance moves, the elements will need to be taken into consideration. Refrigerated trailers keep items at a controlled temperature. Dry vans are essentially enclosed trailers. These are arguably the most common trailers and are used by businesses everywhere. Step deck trailers are very similar to flatbed trailers, and have a height restriction of 10 feet.