As a Wix Designer, I recommend that clients put search bars on their websites to help their users find pages or content more quickly. This is especially true for ecommerce stores, or blogs or information heavy websites. Unfortunately, Wix doesn't yet have a Search feature built in their native editor (Wix is promising they're working on it!) but in the meantime, a search can be added to your Wix site with the use of a third-party search app.
The most widely used Wix Search by Wix Designers is the "Site Search" app by InstantSearch+, this app is easily installed into your Wix website, and works quite well in my opinion. There is a free version with up to 30 searches a month included. The $4.99/month paid version has unlimited searches, and incorporates ecommerce results if you have a store, which I think is vital for any online store using the Wix Stores platform. Why Wix Stores doesn't have search built in is beyond me, but I do believe for best user experience and sales, having a search is crucial to help people find exactly what they're looking for.
Note: Most Wix Designers also prefer Ecwid's Wix E-commerce Shopping Cart over Wix Stores, as it has a little more functionality and also has a search function built-in. So if you don't yet have ecommerce and want to add it, I recommend exploring that first.
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Below are screenshots of the Site Search app that can be added to any Wix website design:
Below is an example of the Wix "Site Search" app search page results for a Wix Stores ecommerce store – this shows how it displays the search results of the products that have the keyword "purse". Nice!
Below is an example of the Wix "Site Search" app inline search suggestions that pop down to show you search results that match your words as you type. I love this feature – as it helps customers find and click on items they're interested in immediately. Less clicks = more sales!