Of course, the most important part of the bungee equipment is the cord. But the importance of harnesses and other factors (such as place of jumping) should not be underestimated.
Harness
Harnesses are several types according to what they are tightened.
Most common is the leg harness - it bounded to the ankles. Special covers are put over both of the ankles and are tightened with straps. There is a way of attaching the jumper to the rope, which involves no special materials but requires special technique. Usually a towel is wrapped around the ankles and then a sling is tied over the towel ensuring the safety of the jumper by tightening more during the jump.
Another type of harness is the body harness - a combination of chest and waistharness. It is tightened to the body and may be used withthe leg harness for safety and comfort.
Cords
Many clubs produce cords on their own. Usually cords consist of many rubber strands, which are covered by protective sheaths protecting them from sunlight, wind and dirt. There is also a static-line, which is used as a back up.
Cords have one very important characteristic concerning the change in the length of the cord- their elongation. For example elongation of 200% in 50m cord indicates that it streches with 100m more resulting in 150m total length -three times its original size.
Clothes
There are no special clothes required for bungee jumping.
After the jump
There are clubs that doesn't have special equipment for taking the jumper off the cord. After the jump the man is lowered and taken manually by boat or something similar. An air bag is also used in such cases providing both safety and easily take-off for the jumper. But almost every club has a special device for taking the jumper back to his starting point. In most cases a helping rope is dropped and the jumper catches it in order not to be with he head downwards, and that way he is pulled up.
The most common platform for jumping are bridges usually over water due to psychological reason (people think it is much easier to jump in water then over some rocks or something). In some countries there are specially build high towers or high steel bridges for this purpose offering great comfort to the performers (such as cafes at the top where you can drink your last coffee). Some people even jump from hot-air balloons and there are always new ideas.