A moving coil cartridge is sort of the opposite of a moving magnet cartridge. Instead of magnets, two small coils are connected to the end of stylus located in the body of the cartridge. The coils are smaller than magnets and weigh much less, giving the stylus more agility when navigating the constantly changing record grooves. In general, a moving coil cartridge traces the grooves better because of its lower mass and provides more detailed and accurate sound quality.
One disadvantage of the moving coil cartridge is that it generates a smaller voltage and requires a secondary preamplifier, sometimes known as a head amp. The head amp increases the voltage enough for a phono input on a stereo component. Some moving coil cartridges have higher output and are compatible with a standard phono input, but its output will be somewhat lower than a moving magnet cartridge.
The stylus is also not user replaceable in a moving coil cartridge and must be replaced at the factory or the entire cartridge discarded if the stylus is broken.
Both types of phono cartridges will provide good performance, but if you want the best, select a moving coil cartridge.