Have you,or an engineer,tested the signal strength received by your aerial?
Has an upgrade of aerial been suggested as an option for improved Freeview reception?
If you are definitely in a poor reception area,then Freesat would appear to be your only option if you do not wish to subscribe to Sky.
Of the Freesat boxes available,comparative tests in AV magazines have shown the Humax to be the best all round performer.
Their Freesat PVR is currently rarer than hen's teeth.
If tests reveal that Freeview is an option,then you have an extremely wide choice of equipment.
Having had an aerial upgrade,the Freeview tuners in my Humax 9200,Topfield 5800,and Panasonic EX87 HDD/DVD recorder produce excellent PQ.
However,I cannot comment on what boxes would be controllable with your B & O remote.