If you are just moving a board that you have made from one room to another, you just have to be careful as you walk.
If you need to move them longer distances, I have found that it works really well if you take a second board, line it up on the top, and tape it down with masking tape.
I start by taking one corner, taping the top, and then sliding it to the edge of the table and taping underneath, and rotating it 180 and getting the diagonal corner, and then just repeating until it is secure. When they are solid like this, you can even transport them vertically. When you get to the place you will be fusing them, you can just cut it with an exacto knife.