I currently own a Logitech Premium Optical Wheel mouse BT58 and will upgrading to a Razer Deathadder 2013 change alot of things, like, what would change?
Sorry for my bad english, it's not my native language.
On the software side, the only difference is that you will have to install Razers Synapse software (basically its driver). How you tweak that will decide how the mouse moves on the screen.
Physically there will be a massive difference as their entirely different mice. Whether it will be for the better or worse depends on your preferences pretty much, though I think it will be better since that Logitech seems to be a cheap mobile mouse.