Apis : I use a UK National hive. It is the most popular hive in the UK. This is a square box which holds 11 frames. For my beekeeping I use a single brood box then an excluder with supers above. There are 3 other brood space configurations for the National hive.
As regards "Beekeeping in the UK" , I'm giving it some thought. It is such a wide topic. I don't know how much interest there would be. I think I would prefer answering questions about specific points such as Registration, Bee Pest control, Club organization ......