Probably the most important tool decision you make is your glass cutter. There are a lot to choose from. There are two things to consider. What the wheel is made of, and which shape is most comfortable for you. The heads will be either steel or carbide. Carbide is more expensive but far outlasts steel.
Most of the steel cutters are what people call “throw aways”. That is because they do not have replacement wheels. When they get dull you just throw them away. The steel wheels come in different sizes and different angles. Some are better for soft glass and others for hard glass. The size and angle determine this. You can purchase a steel wheel cutter (at this writing) for less than $10. If you want a cutter that is cheap and will make your hand hurt just by looking at it, this is your cutter!
The carbide cutters are way more expensive. Some can be in the $50 range. Many are self-lubricating which is very convenient. The most common shapes are pencil and pistol. There is also the saddle and the custom grip.
See more at this link: Glass Cutters – Stained Glass Express
There are also specialty cutters. There is the Score 1 Cutter that looks like a sewing machine and scores by running the glass through it. And cutters to make it easier if your hands or strength are compromised.
There are circle cutters that cut score with either a single head cutter or with a wheel turret. There are circle cutters specifically for small circles. Some circle cutters double as a strip cutter. T