It really depends on several things: What are you cutting, what material you are using, will the cut edge be showing??? Regardless, the first thing is SHARP cutting tools. Next is good fabric. Adding a stabilizer is good, but then again, you have to know your fabric/project. If you could ask a more specific question, I am sure every one could give you very sound advice. For example, ” I am making wall art where the 100% cotton fabric is a variety of circles and I need them stiff. What should I use to help me stiffen te fabric and prevent fraying in the raw edge?” Just a sample and you could fill in the appropriate words. Congrats on getting started with any project you do, it will become addictive.