When deciding on what type of case to choose, think about the application of the pedalboard. The over-the-shoulder carry bag is ideal for general pub gigs and travelling to and from the practice studio. The lighter weight means they are a breeze to carry around, and the smaller form means they fit easily in most vehicles.
Most of the common big-name brands will also have an option for a hard flight case, these are perfect for longer tours or overseas travel. Bear in mind that this will mean the pedalboard will be significantly heavier and take up more room.