As i understand it, 2 weeks is the age that most breeders remove chicks from the nest to start the hand rearing process.
Since studying this subject in depths im beginning to think that interfering with nature is not such a good idea.
Although with that said i once had a hand reared male cockatiel for 8 years and providing he had his freedom he was the best pet i ever had. I found him a lot easier to handle than the senegal i currently have although as he matures he is coming in to his own regards pet quality.
Congrats on your baby tiel.