I have been twice
I loved the Triumph...very nice ship in a "Between size" that is larger than a Fantasy class but smaller than the "Conquest" class.
The rear of the Lido deck is designated for adults, and there are two hot tubs that are adults only. We never saw any children in those tubs on either cruise. However, the down side is that the Pizza and the Hamburger stands are also located in this area, so you will see children and there is a pool there also. But kids were never a problem.
We did the Eastern to Key West, Nassau, and Freeport and also did the Western to Belize, Roatan, and Cozumel so we have put some miles on the ship.
Big Tex has been making NOLA his home port, so he has been assigned to the Triumph a lot, and he is a great CD.
Not sure what they are talking about on Deck 3...that is the lower Dining room, but there is a an area on Deck 5 (Promenade) behind the Club Rio lounge.
NOLA is a very nice port and easy to get into. You pull into the parking garage, drop off your luggage and then pull up and park.
Read and post cruise reviews
Carnival Elation (1) Feb. 12, 2011
Carnival Triumph (2) March 13, 2010; Oct. 16, 2010
Carrnival Fantasy (4) Oct. 15, 2007; Oct 27, 2008; March 2, 2009; Nov. 11, 2009
Carnival Holiday (2) Dec. 27, 2007 & Dec. 31, 2007
NCL Sun (1) on March 11, 2007
Carnival Glory (1) Sept. 16, 2006
Carnival Celebration (2) Dec. 31, 2005; March 20, 2006
Carnivall Conquest (1) Oct 9-16, 2005