Pinpoint is the work horse of shirt fabrics. Typically they produce a heavier and thicker . and thus more durable . fabric.
Pinpoint is a less formal look than broadcloth or twill, but more formal than oxford. This, combined with its durability, make it a great choice for your everyday work shirt.
Chambray is simple weave, similar to broadcloth. It is different because it uses a much heavier yarn, and typically different colours for the weft and width.
The result is a much more textured fabric, both in touch as appearance where the different colours create a densely speckled two-coloured fabric.
Denim needs no introduction. It's the stuff your jeans are made from.
Technically a twill fabric (look for the signature diagonal texture) denim is produced in much lighter weights than the ones your jeans are made from. Those are the ones you can use for a shirt.
A higher thread count means a smoother (and more expensive) fabric.
Thread count is expressed in numbers, like 60s, 80s, 100s and so on to 300s and more.
There's a catch though. Numbers above 100s are typically made by twisting two yarns together. Like a 160s thread count means that two 80s yarns were twisted together for the thread.