Hi Ramona and welcome to the Q&A Board,
Some of the easiest cameras to operate are Kodak Easy Share cameras. Several camera manufactures, including Kodak, make cameras with "docks" that make downloading images for camera to computer very easy.
While we don't recommend cameras, we do offer a lot of information that can help you decide. We also have areas featuring cameras according to difficultly of use. Here is the link to beginner digital cameras. You may also want to consider an intermediate level camera:
http://www.digicamhelp.com/digital-camera-shop/index.htmIt's also a good idea, if you can, to visit a store where they sell digital cameras to hold a few in your hands and see if you like the ergonomics.
These sections can also help you decide the features best for your needs:
http://www.digicamhelp.com/choosing-a-digital-camera/index.htmhttp://www.digicamhelp.com/buying-digital-camera/must-have-camera-features.htmIf you're going to be taking photos of horses, you may wish to get a camera with a long telephoto lens. If so, consider one with image stabilization.
http://www.digicamhelp.com/digital-cameras-with-image-stabilization/index.htmMost cameras do well at photographing sunsets. Some cameras even have a Sunset mode; if not, it's just a matter of learning a few tips:
Taking Photos of the Sun with a Digital Camerahttp://www.digicamhelp.com/taking-photos-of-the-sun-with-a-digital-camera/index.htm
