That really depends on your definition of "hassle free" and how much of a newbie you are. Personally, I always find square taper bottom brackets to be a pain the &*$#!
The square taper bottom bracket requires a special tool to remove it. The ever helpful Sheldon Brown has a list of the different types. the first or second one on the list is the one you want. It's a bit awkward to use, especially if your bottom bracket has had time to "seize" into the shell. You'll need a different tool for the integrated bottom bracket on the new tool, the Hollowtech II tool on that same list. It's much easier to use.
You'll also need a tool to remove your old crankset. The cotterless crank puller near the bottom of that same list should be the one you need. It's pretty easy to use, but be careful. There are two different sized heads and if you use the bigger one when you need the smaller one, you can strip the threads on your crank and then it's very difficult to remove.
Changing cranks and bottom brackets almost always effects your chainline. I can't find any measurements for either your current crank or your new crank. There are ways to measure and adjust for this though. Sheldon once again explains it all very well here: http://sheldonbrown.com/chainline.html.
It's also important to remember that one side of the bottom bracket has left-hand threads. I can never remember which one, but luckily it's usually labeled on the external (integrated) bottom brackets. If someone else knows off the top of their heads which one it is, feel free to edit it in.