I have a HDR-FOX and Now TV box connected to the same HDMI socket on a TV: it is fine. I tend to use iPlayer on the Now TV box these days as the new version runs so badly on the HDR-FOX: you should be OK with the HDR-2000T though as iPlayer is better on this model. I use a port-powered HDMI switcher box (about £8 from an Amazon seller). It has a little remote control which is useful. The video output is always on on the Now TV box. If you turn on the HDR-FOX it switches input. However, the HDR-FOX (and probably the HDR-2000T) sends a switching signal when it comes out of standby to record, so if you are watching the Now TV box the TV will switch to a blank screen when the HDR-FOX is preparing to do a timer recording. You can either manually switch back using the switcher box remote or, what I do when I am using the Now TV box, is turn on the HDR-FOX then switch back to the Now TV box with the remote so viewing in uninterrupted, whatever the HDR-FOX is doing. Of course, if you have a spare HDMI slot on the TV, even better.