Bhamo is a city in Kachin State, Northern Myanmar.
There are a few flights to Bhamo from Mandalay and/or Yangon, as well as Myitkyina.
Several vans connect Myitkyina to Bhamo. For more comfort there is a bus departing Myitkyina at 8am. It takes around 6 to 7 hours and the ticket is 12000 kyats (as of Dec 2010). At the moment the travel by bus is not allowed to tourists (as of Dec 2013).
Boats to and from Mandalay take between 2 and 3 days, depending on the boat and the season (faster during the wet season when water levels are high). A ticket for a shared cabin in the govenment IWT ferry (two beds) is 54 US$ per person (as of Jan 2013). You can choose to sleep on the deck, which is much cheaper (12 US$ as of Dec 2013). There are fast boats to Katha that takes foreigners. The price is 6000 kyat for locals. They try to sell the tickets much higher to foreigners (Dec 2013). The fast boat takes around 8 hours. It leaves in front of the Ayawady Guesthouse at 9 o'clock. Or you can choose between a privately owned ferry (15 US$) or the IWT ferry (ca 5US$) as of Jan 2013. The former tends to be more accurate on departure times. Both take around 12 hours.
Bhamo is small enough to walk around. To get to the ferry terminal you'll probably have to take a taxi (around 2000k per person).