You can achieve this easily by just adding 2 DiviMenus into your Header by using the Theme Builder.
DiviMenu 1: You can "Hide" Titles on Mobile.
DiviMenu 2: Hide Titles on all devices.
You can even take advantage of the DiviMenus "Sharing" add-on to define the links for the social items. This way you will be able to share your page content instead of creating just links to your Social Networks.
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🧡 DiviMenus:
A powerful menu builder that brings the coolest designs and popups to Divi!
https://dondivi.com/divimenus
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💜 DonDivi:
We create premium tools for improving your creativity and simplifying the way to design stunning websites with Divi.