Can you tell me what a movement controller would do day to day and what courses/ training can you do?

Depending where you go will depend what you will get up to, but there ins't a typical day.

A movement controller could be working with the freight at Marchwood, checking peoples docs before a flight, using the scanners to check luggage like in an airport issuing boarding passes.
They need to check policy's and legislation for moving materials around different countries. So making sure we are within transport legislation's. They are very busy, and always have exercises to provide assistance with or deployments.
Will also go overseas to ro a recce before anyone comes over, this can be from a private level with local authorities.

Once you have reached your unit they are mainly 1 man rooms with a en-suite shower room which they call the Z type. Some camps still have shared accommodation rooms but it just depends where you get posted.