They are much easier to move with a bail spear. Don’t have to worry if you are hooking the next bale’s twine like you do with forks. It can be done and I used forks for a while and put on my hay spear on and never went back. I also have a 32 hp tractor a Ford 1920 I can stack three high. I can move two at a time but it’s a little harry with my bale spear. I have one large spear and two small spears ( about 12 inches. If you don’t get it balanced right they want to spin on the large spear. To move two you need a spear with two or more large spears.
Titian has some spear options for you at a fair price. If your rear tires are filled you can move those bales without worry. Also have you tried painting the tips of the pallet forks. Makes it easier to see for correct placement.