The BT Vision product is about 80% of a great product. It’ll do the two recordings/pause live TV etc and you can very easily access BBC iPlayer (it’s probably the easiest way to get iPlayer on your TV). The downsides are that you have to (or at least you did) have the BT router and you have to have it located next to the TV which can be pretty inconvenient. I’m not sure what the new BT router is like but I didn’t rate the old one. Then there is Phorm. I’ll leave you to make your own mind up about that.
I don’t think that there is a triple tuner device available but the Humax range is very good and will do with Freeview what Sky+ does for Satellite. If you think that you will want to record two programs and watch a third then if your TV has an integrated tuner then you can use that, alternatively if your TV doesn’t have a digital you could buy a set top box (or I could post you one for free). Bear in mind that you don’t have the facility to record three things right now so is it something that you will miss?
Basically I’d say buy a Humax. Less than £200 with all the connections to your TV that you could possibly want (Scart, HDMI, RGB I think, RCA out, Digital audio out)