We have just bought a new Samsung smart TV for the bedroom which is connected to my virgin broadband and my question is can I download the TV anywhere app on to this TV and watch my recorded TV programme's on this machine?
If not how would I go about being able to view my TVIO box in the bedroom?
Short answer, no. The TV anywhere app is not available for any smart TVs and also, you can't watch recorded programs on TV Anywhere anyway.
To view on a bedroom TV, you would need either a long cable or a video sender of some sort, and then some way of controlling the TiVo. You could use the TV Anywhere app on a smartphone for this or an infra-red sender of some sort.