A "reveal" is the ability to see unmasked contact data right your browser. Simply click the contact of interest, click on the "Reveal" button, and see the full, unmasked contact details. Clicking on the "Reveal" button will cost you a contact credit, unless you are on a plan with unlimited reveals.
An "export" is the ability to remove one or more contacts from ContactCloud in a formatted csv file. This is great for importing contacts into a CRM tool, a dialer, a marketing automation platform, or anywhere else where a consistent format is valuable. To export, click the checkboxes to the far left of the contacts of interest, and then click the "Export Contacts" button at the top-right of your results. You can select contacts across multiple pages of results, if desired, up to 500 contacts. Exporting a contact will cost you a contact credit. Not all plans have have export features.