As requested by Rhys, Here's a video on how to polish glass. Polishing Glass is a lot like polishing paint, but glass is a lot harder.
Not sure what polishing machine to use. Our favourite by far is the Torq 10FX. Its the goldilocks polisher, not too big, not too small. High quality, great weight and lots of features to make it safer to use, like cutting out if you put too much pressure on, or dropping back to zero speed when you turn it off and on again. A great polisher. The smaller machine is great at a great price, and the larger machine is great when you have a big flat are like a campervan, but for most cars the 10FX is the best machine to go for. Check it our here