I do not know where to place my questions. How do I go about looking for contractual work using Solid Works?
Try talking to the people in your local SW users group. Some of the engineering headhunters may also have Solidworks positions as well.
The first thing I would do is not call myself a "SolidWorks operator". Can you design?
Yes, you'll be more likely to get a better position if you call yourself a designer rather than a drafter or operator. Sharpen your resume and emphasize any design experience you have, as well as experience managing projects, working with vendors and customers, rapid prototyping, etc.
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