I really don't rate digital tv that highly as a replacement. We should retain both imo.
Plus
Digital is good for recording - no snow. Sound has the potential to be as good as mp3 audio is.
Minus
Digital looks really poor when there's a lot of motion. All you can see is the quantization.
Decoding is non trivial. It takes a relatively large amount of electrical power for the digital processing to get the raw audio and video signals out. So the mobile devices are power hungry, unlike analogue which is really cheap.
If there is a poor signal, due to weather or whatever, your reception is broken up and interrupted with "Check your aerial" every 30 seconds. I'd rather have snow than that.
Sound and video are interleaved, but not naturally associated, so there can be lag between the two as the streams run at slightly different speeds, and the decoders go wrong often enough that you notice them out of sync. Then when it decides to resync, you get a 5 second silence.
I have an analogue option on my tv here, digital audio isn't always better, especially true on televisions for some reason. You get cleaner high frequency sounds with analogue. While digital doesn't have that background fizzing noise. For casual programmes I do prefer analogue. For listening to music I prefer digital.