All of my photographs are taken with a tripod. I can barely remember a picture I've taken in the past 5 years without one (OK, there have been a few).

Camera movement affects virtually ALL photographs! Even at 1/100 second or faster, camera movement will reduce the sharpness of any picture. A tripod is an indispensable tool.

I'm currently using a Manfrotto (Bogen) model 3443 carbon-fiber tripod with a Swiss-arca B1 ball-head.  Prior to this I was using a Bogen 3221 tripod with a Kirk ball head. Both tripods are wonderful.  I actually like the 3221 better than my newer, more expensive, carbon-fiber tripod, but I switched because I was trying to reduce the weight of my equipment.  The 3221 is a bit heavier and definitely more stable.  Carbon-fiber tripods are lighter and a bit less stable.  But with the right technique, you can do well with either.

For me, the best tripod heads are "ball heads".  Especially if they support "panning" - the ability to pan horizontally without loosening the ball.  Although I've used "pan & tilt" heads, I've not found a better head for wildlife and landscape photography than the "ball".

Many photographers will tell you that a tripod has another benefit. That is, when using a tripod, you tend to be more careful about your composition. Without a tripod you tend to "snap" pictures. The tripod slows you down & gives you a chance make more conscious decisions on composure and exposure. It also makes it a lot easier to bracket your exposures -- assuring that each bracketed photo is exactly the same composition.

For more info on Tripods see Why you need a tripod or How to use a tripod on my Tips page.