I've had good luck with Panasonic Lumix DMC ZS/TZ series cameras (the $150-$350 line, not the low end they now market under similar model names). I currently have a ZS30 which is OK but not quite as ergonomic as their older models in the line. The newer ZS40 and similar models might be worth a look, though.

The bottom line is that you need something with Image Stabilization (preferably optical/physical stabilization). And if you're shooting Landscapes then you want something with a really wide field of view when zoomed out.

I often check out www.dpreview.com before buying a camera... Good stuff there.

Enjoy,

--Noel