Welcome to the Cowboy Junkies fan club Warren. Tim, You're still cool here on A'Gon, IMO-- even though you have questionable taste;>). For me (a major Cowboy Junkies fan) the Junkies were an acquired taste, and as my stereo system improved, I liked them more and more. When I finally fell in love with them I believe it was for good.
The "Trinity Session" is probably their best known album, but they're all good with the possible exception of "Open"-- which I've had a hard time warming up to. If you're up for a somewhat "different" Junkies sound, I can highly recommend "Waltz Across America".
Other favorites of mine are "The Caution Horses"-- slow, sad ballads, and "Studio Sessions", which is sort of a best of CD. Their latest, "The Radio One Sessions", which was recorded in London is a very nice compilation of their already famous songs, but the versions are different, and I like it. Cheers. Craig