Local people can get in serious trouble for discussing politics so avoid bringing up the topic. If you are keen to find out local opinion be discrete and wait for the subject to be raised by others.
Power cuts are frequent and although most places have their own generator it is best to check before paying for a room in a guesthouse as it can get pretty hot at night without an electric fan to cool things down.
Although the local people are honest, Myanmar is one of the world's most corrupt countries and it is common for officials and other civil servants to discreetly ask travellers for bribes. These requests are rarely reinforced however and refusing to understand generally does the trick.
Although there have been bombings in Myanmar in the past these have now stopped and the main danger zones are off limits to tourists anyway. The situation in Myanmar is constantly changing and tourists and banned from several areas. Make sure you get the latest information before you go to avoid problems. It is possible to apply in Yangon for a permit to enter restricted areas, although such requests are seldom granted.