Here is a screen shot showing the FamilySearch.org FamilySearch Catalog with a box and arrow showing the pull-down menu for all of the participating FamilySearch Centers:
located nearby to your own location.
If you make a search in the Catalog and find an item or film that has yet to be digitized, it is a very good idea to check to see if the item is available in a nearby FamilySearch Center. For example, if I were searching for a book in the Catalog called Hartwells of America, I would do a Catalog search on the title to the book and when I found the item, I would also find a link to a Location. The pull-down list will show any Centers that have a copy of the book. Here is a screenshot for the Catalog entry of "The Hartwells of America : a genealogy of all the Hartwell families of the United States and Canada."
This is a long entry, so I would have to scroll down to find the Location link. Here is a copy of that portion of the page: