Record hints are in the green Sources category and are turned on by default. They will begin to appear in your list of research opportunities.
If you just want to see record hints, you can turn all other opportunity types off.
Click on one of the "Record Hints" cards to see a list of collections with matching records. In the example below, Reita Luvilla Thurman has three possible record matches in "Utah Marriage, 1887-1966", "Utah, County Marriages, 1887-1937", and "United States Census, 1940".
Click the "Review these matches" link to see review the list of matches in FamilySearch and attach the proper sources.
You can read more about Record Hints and how to properly review them on the FamilySearch blog.