If you wish to use Typinator on more than one computer you can now have three options.
1. iCloud sync
iCloud Sync allows Typinator to synchronize your abbreviations between your Mac and iOS devices. This is required if you want to use the Typinator iOS keyboard or keep your abbreviation sets synchronized across devices. For more details please read Use iCloud Sync to access your Sets on Mobile and other devices.
2. Shared Folder
If you would like to use a other cloud service then iCloud you can use the Shared Folder option for this. Please read Sync to a Shared Folder for more details.
3. One-time transfer
For a one-time transfer of a set from one computer so another, first export the set on the source computer. You can use the Export command from the Typinator menu, but you can also drag the set from the Typinator window into a Finder folder. Typinator sets appear as files with the extension "tyset", but they are actually folders. To make sure that the internal folder structure remains intact, we recommend that you compress the set with the File>Compress command in the Finder. This creates a "zip" file. Transfer that file to the target computer. On the target computer, double-click the zip file to expand it, then double-click the resulting "tyset" file to re-import the set in Typinator.
If you use Typinator 9 or older please have a look at this article .