One thought on the Fiskars...make sure your blade is not too tight or too loose. You want the blade to roll smoothly. If it is too loose, the blade will wobble and skip as it cuts. If too tight, you will not be able to cut without forcing the blade forward.
Also, do not ever cut towards you! Disaster waiting to happen. Always turn your work. Lots of people use the mats that turn to help with this issue. (Have cut myself badly, thus this bit of advice).
I do think, however, that your main problem is trying to cut on the ironing board.
Anita