Also, there are two Elven Capital Cities in LOTR. Rivendale is the first elven town you see, where the fellowship is assembled, Rivendale is the high elf place. Elrond and Arwern are High Elves (not to be compared to blonde wood elves).
On the other hand, Lothlorien is the Elven city you see in the trees, where the Fellowship meets Galadriel. Legolas, Galadriel and Cereborn (the elf you see walk beside Galadriel when she first meets the Fellowship) are all Wood Elves, which makes sense because Lothlorien is the Wood Elf capital.
The difference between the two groups is that Wood Elves are generally taller, all have blonde hair, and speak with a more primitive type of language, while High Elves are shorter, have darker hair, speak in a more sophisticated language and tend to have a more general resemblance to humans