well im mechaniclly inclined, i weild and verious other stuff, so stuff like that comes easy to me, but heres another way it can be done, but the prosses will be longer:
use a bigger plant container, one with holes in the bottom for water to leak out when compressing, do the same to the paper as the video suggest, then put the wet paper in the plant holder, and use something round like a plate and put a few bricks on it to compress the papers. as i said this will probably take longer to do than the press shown, but seems like it would work.