Once you get one hexy surounded by another, you can remove that paper. Only the outside papers need to be kept in place. I like to remove the papers as I go. less bulk to have to work with. I do not press with the papers in. In fact, if I press at all, it's usually just the borders. I press the fabric well before I start stitching to the papers. Don't think they need it again. Thats my thought anyway, and I'm sure there are others that do it differently, but it works for me. Have fun with your hexagon quilt. Would love to see a photo.