I have never been on a plane so I couldn't tell you what you can or cannot bring.
I am sure that they are not going to let you take scissors or your cutter as they both can be used as a weapon. If it were me, I would take a project already cut and just buy a pair of cheap scissors when I get to my destination.
You may be able to bring them if you put them in your checked luggage but I really don't know so don't listen to me. LOL But that is what I would do if it were me. You have a safe trip. :)