Pretty Links (Lite) has a huge number of users, like the affiliate plugin in this list. The downside is that they use their domain names, although there are other free resources to shorten your URLs. Meanwhile, you can use your domain name and look more professional with Pretty Links (Lite).
The plugin allows you to monitor every single connection that you shrink. It also offers all the information you need to get a better understanding of where the hit started. For example, it will tell you which browser visitor was on, which location, operating system, host, and others.
Note: This plugin is sold and owned by PrettyLinks.