Guess they open into the utility to give you more space in the kitchen, which gets more use.
Should be a DIYable task, depending on how the frames were made. If they're like the standard door kits, with trim tacked on to form the door stop, then it shouldn't be too difficult to remove the trim, though doing so neatly will be tricky, especially if the frame has been painted.
You will also have to move the hinges to the other side of both the door and frame. The lock mechanism will also have to be opened to reverse the catch.
Some level of damage to the frame and/or trim is inevitable, so you may need to repair or replace one or both.
If you're comfortable recessing hinges and hanging a door normally, this shouldn't proove too dificult.
Leo