All you really need is a soldering iron and some solder. However it might be beneficial to have a "solder sucker", a soldering iron holder and a "third hand" work clamp with magnifier. It is also advisable to wear some protective eyewear, and to work in a well ventilated area.
This kit is suitable even to complete beginners at soldering. The top of the board is printed with the locations of all the parts, and there is an assembly guide to help you too. It is pretty self explanatory though!