Zotero provides the ability to save references from most library catalogs (including UM's) and databases, and most regular web pages, with one click. (Zotero publishes a list of compatible sites, and many sites not on this list also work.) If Zotero detects that you're looking at a book or article on a catalog, database, or a site like Amazon.com, LibraryThing or the New York Times, you'll see a book or page icon appear in the address bar of your browser. Just click the icon and Zotero will automatically save the citation.
Example 1: UM's Library Search
Example 2: Academic Search Premier, a popular UM database
If you're on a search results page, you'll see a folder icon instead. Click this to get a list of all the items on the page, and check off the ones you want to save.