This is the brand I generally use.
https://redrockthreads.com/floriani/...SAAEgIS2vD_BwE
I don't know how easy contact paper would be to tear off the project or what the glue residue does to the needle.
You can glue two pieces of cut-away stabilizer or fuse Pellon 809 Decor Bond together. Cut a window to the project size (about 1 inch larger). Cut a piece of sticky back and cut out the backing. Again a little larger than the project. Stick the project onto the sticky stabilizer and stitch design.
The cut-away window can be saved for the next project.