I have the Fujifilm S5500, this has a 10x zoom and to be honest, as long as you know how to use your camera, anyone can produce stunning landscapes, personally i have a lot to learn in this area, but as an amateur i cannot afford the more expensive models nor provide any justifiation just yet. The price range varies from country to country but try to avoid buying online if possible, and if you have too, make sure it is from a reputable company. Prices will vary so a little searching online will help you there.
www.dpreview.com is a great resource site and definately worth a visit.
With regards to the camera shake problem, a tripod will help resolve that problem, again this is down to correct usage of the camera and equipment.