Nearly all of Tegucigalpa's sights concentrate in Barrio El Centro, its historic downtown. The scarcity of acceptable center-city accommodation means you'll probably stay elsewhere in town and will need to taxi downtown to see the sights. A half day gives you a rushed overview; a full day lets you explore more leisurely. Think about winding up your downtown sightseeing day around 4 pm. Taxis become difficult to find during the evening rush hour, and wandering around downtown on foot at night is risky. (It gets dark here between 6 and 6:30 pm.) Walking the center-city streets during the day entails the same precautions you'd take in any new city: watch your things.
One of the capital's top sights, the new Chiminike children's museum, lies outside downtown in the southern reaches of the city.