My advice:

If you want a radio that you can sit on a desk or countertop most of the time, but grab and go if needed, then I recommend the Oregon Scientific WR601.

The WR602 is similar, but has a NiMH rechargeable battery.

If you want a tiny handheld weather alert radio, the Midland HH50 is about as small as you can get right now and works quite well, though it doesn't have digital display and it only runs on batteries (no AC connection).