You probably know this, Rob, but just in case, Tax(VED) is still required, although it's at zero cost, for the moment.Registered as exempt from MOT and tax, now officially a 'historic vehicle'
Although MOT is no longer mandatory, you must confirm (tick box, making it your responsibility) that it does not require an MOT.
Your insurance company may not agree. Best to get confirmation, in writing, that they are happy for the vehicle not to be tested. Some do, some don't.
Personally, I MOT my 'Historic Vehicles', a career in aviation reinforced my discomfort with marking my own homework.