Actually in the city of Dhaka, the only real way of getting around is by using one of the hundreds of thousands of traditional rickshaws that ply their services along the city streets, and which are far cheaper than the few motorised taxis, and the overcrowded and rather dirty buses.
If you're planning to see more of the country than just the city of Dhaka, then Biman, the national airline offer flights to the major towns and cities, or you can also use the many ferry services along Bangladesh's many rivers.