Red Pandas usually sleep in the small, tight branches of tall trees. Red Pandas are not like the other species of Panda the 'Giant Panda' at all. The giant panda are much greater in mass and they do not climb.
Actually, red pandas aren't pandas at all. They are more closely related to small mammals like raccoons and weasels than they are to pandas. They are only named red pandas because they look similar in their markings except that the traditional giant panda is black and a red panda is, well, red.