Most of my purses and bags are made with high-quality woven cotton fabric - designer quilter's cottons are the best! I also like using batiks, which are a tightly-woven cotton. I find them easy to use, they'll take the high heat I'm used to (being a quilter), and I love the novelty prints.
There is no reason, however, you can't use "fancy" fabrics with my patterns! I made this
Journey Purse from upcycled fabrics supplied by my sister-in-law.
Just remember these tips to keep your fabric and sewing machine 'safe' and your purse results outstanding!