Hi there,
I've been a SEOmoz Pro member for a while now, and at the moment I am finding the best tool for finding good quality competitors links is the Competitor Link Finder (CLF). This tool compares and cross references the link profiles of 4 or 5 of your key competitors, and enables you to find the best links that your competitors have in common. Because the links are in common, there is a good chance of finding relatively easy to get and good quality links.
The main SEOmoz competitor analysis tool is Open Site Explorer (OSE). Personally I find this tool a bit cumbersome to use; you can spend days trawling through competitor profiles without finding a good link to gain for yous site. Occasionally it does find some good stuff, though.
OVerall, I would give CLF a try first, see how you get on.
Kev