Hi 0069twiggy! I have read the Destiny trilogy (and most other ST novels for that matter) and it is actually really great. You won't need to read anything else prior to that, as the author (David Mack) is kind enough to remind you of any necessary info. Of course you should know that Riker and Troi are in the USS Titan.
You should be prepared for a big shock at the end of the Trilogy (lets say that the Trek Universe changes a bit) but remember that it is non-canon
The aftermath of the story was continued in other novels (see
http://memory-alpha.org/wiki/Star_Trek%3A_Destiny for a partial list) but, to my honest opinion, with mixed results.
Well, I can't say any more without giving out spoilers, so the punchline is that when I read it I really really enjoyed it!