A friend of mine is renting an extra room in her 2 BR apartment. The apartment you share is fully furnished and its possible a bed can be provided. Large wardrobe / closet, gas stovetop, fridge, washing machine and very affordable utilities and rent. Conveniently located for all your needs: easy access to Galerias mall, food options like Crepes, McDonalds, Papa Johns etc and a 24-hour Carulla as well as located along major bus routes and within 8 blocks of two different transmilenio lines. If you are looking for "centrally" located, this is it. Ideal for a private tutor going around to different parts of town.
I lived there for a bit and the apartment owner / roommate is great. Plus the place was very convenient for me when first getting used to Bogota's transportation network.
If you are interested, contact Jennifer at Protected content (feel free to write in Spanish, English, or Portuguese).