At the moment, I'm trying to work out how to animate a custom button which I have an image of and have the coordinates of but I've found that you can create a button/object both by using the CGPath class or the UIBezierPath class. Can somebody please tell me what the difference between the two are?
CGPath is an opaque type from the CoreGraphics library, while UIBezierPath is an Obj-C class in UIKit. UIBezierPath is a wrapper around CGPath (you can convert between them easily), with a more object-oriented interface and a few convenience methods. Using CGPath may be marginally faster as it doesn't have to go through Obj-C (although who knows how it works with Swift) and it has more advanced functions like CGPathApply. Importantly, UIBezierPath conforms to NSCoding, meaning you get serialization/deserialization for free.
tl;dr: use UIBezierPath unless you have some reason not to.