It'll save you time and frustration. With the door closed and latched, remove the hinge pins by tapping on the bottom of the hinge pin with a nail and hammer. After pins pop up an inch or so ...

You can buy butt hinges with fixed pins that are reversible. Fixed-pin hinges function as well as loose-pin hinges, but to remove a door, you have to unscrew all the hinges. With a loose-pin hinge, ...