During a hike there are usually many opportunities for great photos such as landscapes, animals, flowers and much more. A simple point and shoot camera will do the trick but if you want more then just the standard options get a higher priced SLR camera. This will allow you to set shutter speeds use filters and get better pictures all around. A tripod will also be needed for longer exposures.
Read Your Manual
The most important tip is to read the manual for your camera! Your camera might have all the options in the world but they mean nothing if you don't know how to use it. The manual should also give some tips on the best ways to take photos with your camera.
Morning and Evening - This is one of the best times to take photos. Colours in your photos will be warmer than in the middle of the day and the shadows are longer. The sun will also give the sky a warmer blue tone. Sunrise and Sunset - It's best to be ready at your photo location before, waiting for the right time to take your photos. Some of the best times are just before the sun reaches the horizon and 10 - 30 minutes before it rises or after it sets.
Midday - Taking photos during midday hours can be great to get very bold colours such as a rich deep blue sky and green trees and grass. The bad side is you can also very easily wind up with bleached photos at this time of day.
Nighttime - A slow exposure time and a tripod are a must for nighttime's photos. A quick snap shop will likely turn out completely black, whereas a longer exposure time will let the faint light show up on your photo.
Landscapes - Using something in the foreground of you landscape shot will help to give the picture depth and scale. Less is always better don't clutter your photo, try to single out a subject in the landscape and make your photo about that.
Waterscapes - If your scene has a body of water in it look for a setting that will show a good reflection of the subject of your picture. When water is moving over rapids or a falls use a slower shutter speed to give the water a soft airbrushed look. Using a tripod and a 1/8s shutter setting usually works best for rushing water.
Using different settings and locations can be hard to keep track of if you take a lot of photos. Jot the information down in a notebook this will help you compare the printed photos and the settings you used (be sure to mark the film canister as well).
Keep Your Camera Clean
Many things can ruin your photos, small dirt in your camera, scratches on the lens, fingerprints or smudges on your lens. Keep the camera clean and don't expose it to places like a windy beach where sand can get inside the camera or scratch the lens.
Remember Your Camera
Make sure you always take your camera with. Many people go on hikes or to parks and say, "...if only I had my camera." Keep your camera in an easily accessible place; you don't want to unpack all your gear every time for a photo.