Size Matters
I am primarily interested in landscapes. I have the little camera for fun pics and portraits.
This statement actually helps a lot. The misunderstood specs in digital photography are:
-- Sensor size, and,
-- Photosite density.
Basically, the larger the sensor (think film) the higher the image quality and the lower the photosite density, the lower the noise. These are generally both qualities you want when shooting landscapes and portraits; especially if you plan to make large prints.
Don't be mislead by megapixels; within reason, once you pass 5 MP, there isn't that much improvement in image quality and, as Canon found out to their chagrin, pushing a sensor from 10 MP to 15 MP can actually lead to a poorer image.
If you are serious about landscapes, then you probably want:
-- A DSLR, perhaps even a "full frame" model.
-- A tripod.
(These are both nice for portraits, too.)
DPReview generally has very good reviews.
Finally, as noted above, if you go with an SLR, remember that you invest in lenses and expense your cameras. (This is because digital "film" is locked inside the camera and there is a real, noticeable improvement about every two or three years.)
WARNING: Once you get used to a decent camera, you will never want to go back and you will find that the noise and chromatic aberrations of cheaper cameras can really start to bother you.
All the best.