Can I track all of my branded properties in one project? website, facebook, linkedin, google+ etc

I'd love to be able to track all of my project specific online properties, so I can see how much of the 1-10 results page I dominate. 

Example:
#1 website URL
#3 facebook page URL
#4 linkedin company page URL
other spots (2, 5, 6, 7, 8, 9, 10) are competitors - I'd like to know if I'm pushing them out of the top spots.

Can I track them in one project?
Or do I need to set up a project per property?
Or could I set my social profile URLs up as competitors to my main website URL?

Is there a nice way to handle this tracking? Suggestions and ideas welcome.

- Fiona