Also in the UK. For mounting the controller I used velcro. This allows easy removal of the controller if required. The velcro from Screwfix is excellent for doing this (https://www.screwfix.com/p/velcro-brand-black-heavy-duty-stick-on-tape-1m-x-50mm/21670).
For mounting the aerial I fixed the aerial cable to the wall to keep it stable. A couple of round cable clips work well. The aerial cable diameter is 5mm so these will do https://www.screwfix.com/p/tower-white-cable-clips-4-5mm-100-pack/14861.