I do a lot of paper piecing. One of the easiest ways is to find an image you like and cut it out. After this is done, trace the entire picture the card stock of the color most used. For instance for grover you would use blue. Next, is taking the original picture and cutting it up into the sections like mouth black, nose pink. Putting it back together is important because there should be no gaps or open spaces. If you want to add a little more spice, add some chalk with a cue tip or use some acrylic paint to give it dimension.
Good LUCK!