The Arduino UNO R3 is the most used on the Arduino platform. It is based on the Atmel ATMEGA328 micor controller and has the best support for sorftware librariries in the Arduino develoment environment.
You have built an Arduino on a breadboard but you need to program it. How do you do that? This article explains how to get your code on a bare Atmega328P chip so you can use it as if it was an Arduino UNO board.
Wire cutters are generally used to cut metal wire. Some have coated grips that ensure that you will not get shocked by electrical wires you're working with. Slanting cutters have intersecting jaws that cut the wire at an angle, leaving a flat tip.