Some customers need a little more help than others. This is true even for online customers who may not be familiar with your business that has been delivering great service for over 30 years in the physical world. Conveying your business history on line is the first step towards allaying customer concerns.
Landing pages can contain a bit of history information with links to your about page to further clarify how your physical customer service continues to your website business. Having someone to respond to customer inquiries much as you do for your physical business is also important and a key to making customers comfortable enough to send you some business.