Rachel:
What's driving some of this debate over algorithms is, different dive computers use different ones to determine how long the computer recommends to be safe for you to stay down with minimal risk of decompression-related problems; the NDL time. Adding to this complexity is that there's more to it than depth & time on a given time; there's profile (e.g.: zig zagging up and down on a dive) and surface interval between repetitive dives.
In a nutshell, some computers by reputation give longer NDL times - 'liberal,' and some shorter - 'conservative.' Suunto is often said to be quite conservative, Oceanic liberal, some others moderate, but IIRC which company uses which computer maker had something of a shake up last year, so it might be useful to pay attention to specific model (e.g.: Oceanic Worldwide Atom 3.1) when you read threads.
You'll find threads debating the impact of algorithm, and specifically whether Suunto is particularly conservative and to what extent that matters, and it's been pretty hotly debated!
You don't have to stay down to the (theoretically riskier) NDL limits of a liberal computer, but if you get back on the boat with a conservative computer beeping because you violated deco., the boat staff may stop you from diving for awhile.
But you'll find on the forum that Suunto has some fans for other reasons, and most people don't advocate choosing a computer just by the longest NDLs you can get.
Do you anticipate particularly deep diving, spending much of the dive 80 feet or more deep, just to pick a number? Do you anticipate your vacations including high frequency repetitive diving, such as on a live-aboard diving 4 - 5 times/day for days on end?
Richard.