Making a Thread Catcher

I used some strapping off of some shipping stuff that my son got me, it gets thrown away at most large stores just ask them for a piece.

One way to stiffen the top of the container is to insert something stiff into the top hem. Some things you could use are a wire coat hanger, a strip of plastic cut from a gallon vinegar or bleach container, plastic "stays" from an old bustier, the top rim of a large margarine or yogurt container.
My personal preference for dumping thread etc. while I am sewing is to put a small waste basket on each side of my chair on the floor. That way I can throw out things on either side without turning.