Despite conventional wisdom, you do not want to start your job search with a major resume effort. To do this puts the cart before the horse. A resume is really a kind of ad or brochure. Before developing an ad campaign, an advertising agency carefully targets its market and defines its customers' needs and priorities. Only after identifying these factors, does the copywriter describe features and benefits most useful to the targeted market. In your case, you are the product. You bear the responsibility of selling your most important experiences and attributes to potential employers on a person-to-person basis. If you write your resume before you have found out what they need, you are missing an opportunity to present your best case.
Executive search firms need a good resume from you, but they also must have a search assignment that matches your background before they can be of service. Headhunters do not market you. They find the best candidates for client job openings. Their clients are companies that pay their fee or retainer. Don't expect a headhunter to make you her number one marketing project. Conducting your search campaign isn't her job, it's yours.
Beware of all enterprises that require new clothes.
Henry David Thoreau