List the business with a commercial broker, as they can handle it while reaching a far greater audience (MLS, Loopnet, personal contacts, etc.) than you can on your own. If/when there is an interested party, they can pre-qualify the prospect(s), schedule an off-hours tour in addition to getting confidentiality agreements signed, overcome objections, provide financing options, etc, etc..
How are you planning on determining the asking price? Does the sale include inventory? Do you have financials to support the price? Do you have independent contractor agreements with the stylists? Do they rent stations and pay you a percentage? Will you be willing to stay on/be available to consult? These are but a few of the many questions that need to be answered.
There are many facets of selling a business that make it worthwhile to engage the services of a commercial broker. This will allow you to concentrate what you do best... running your business.
Best of luck to you!
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"There are people who make things happen, there are people who watch things happen, and there are people who wonder what happened. To be successful, you need to be a person who makes things happen.." - James Lovell- Astronaut