I'd say go with Illustrator, especially if you're working in the graphic design field. It's got some sweet compatibility with other Adobe software like Photoshop and InDesign, which can make your life a lot easier when you're juggling different design tasks. Plus, it's kind of the industry standard, so if you're collaborating with others, chances are they'll be on the same page. CorelDraw is cool too, but Illustrator's like the cool kid in the design playground :p