On foot
If you plan to get around the city center on foot, you might want to take a map. Because the city grid is laid out with both ordinals and diagonal streets, it is very easy to take a wrong turn. Also, the land where the city was build over has plenty of hills so one should wear comfortable shoes to go up and down the streets. At night, stay in the main Avenues and Streets for safety, because it can be dangerous.
By train
The Metrô (http://www.metrobh.gov.br/). snakes through the city, from Eldorado northeast to Vilarinho, tangential to the north side of downtown. Lagoinha Station is near the rodoviária bus station, Gameleira Station is near the ExpoMinas Convention Center and Minas Shopping Station is near the Mall of the same name and Ouro Minas Palace Hotel. Unfortunately, unlike subways in developed countries or in São Paulo, the Metrô lines, even though connecting the two biggest cities in the metro area, Belo Horizonte and Contagem, do not cover most of the city and outside the stations can be dangerous true for São Paulo's. New lines are been planned and when completed will connect downtown to Pampulha and Savassi, the two most visited neighborhoods.
The trains are useless for someone traveling. Take a taxi.