Not sure what make/model you have,
But as someone who recently had to remove two cabinets at the front of my trailer (from Crossroads) to pull off the inner wall skins, because I thought there was a problem with some mould (as it turns out the mould was insignificant and had not migrated inside the walls, so it was all for not), I can tell you that trailers are not generally built with the intention to make it easy to de-construct at a later date. Not sure if my trailer is similar to others but it took me a heck of an effort and time to remove two simple cabinets. My cabinets were put together and secured to the walls with industrial glue, staples, nails and screws.
And some of the staples and screws appear to have been put in from the outside in (looks like they were screwed through the metal studs and stapled through the inner wall from the outside then the outside skin was put on). I had to then cut those staples and screws flush with the wall after the cabinets were removed to stop them from sticking out from the wall.
Having said that, most of the screws were fastened through the frame of the cabinet then the false bottoms etc were stapled and/or glued to the frame to hide the screw heads. However, some of the screws were so hard to get to and unscrew that I ended up using a saws-all and sliding the blade between the cabinet and wall to cut the screw.
I think your best bet would be to remove what ever easy piece of cabinet walls you can to see how many of the screws you can access first, followed by other pieces of cabinet and trim.
If you plan on replacing the same cabinets back in place, be gentle cause some of the cabinet trim and sheet material are pretty fragile.
Marv