You can use regular computer paper for pp. When you go to have your copies made using a copy machine make certain of two things: 1) Have enough copies for your whole projects and a few extras 2) Make the first copy and check it with the original. Hold it up to a window and make certain it matches the original exactly. You may have to increase or decrease the percentage (example - 99% or 101%) to match the original. When sewing, use a small stitch. When you are ready to tear off the paper, fold on the stitched line or run the back edge of your seam ripper over the stitching and the paper comes off easier.
I have printed many paper pieced block papers on my ink jet printer and I have never had a problem with the ink bleeding. Your fabric and the ink are not next to each other. I try not to have liquid that can spill around my sewing area.