All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger. We ask Allaah to exalt his mention as well as that of his family and all his companions.
You can perform Taraaweeh prayers at any time of the night between 'Ishaa' prayer and Fajr prayer and it is better to perform them at the last part of the night. Imaam Al-Bukhari reported that 'Umar said: 'The part of the night during which they sleep is better than the part of the night during which they stand in prayer'; this means that it was better to stand in prayer during the last part of the night rather than standing in prayer at the first part of the night as people used to do.
As regards Tasaabeeh prayer, it appears from the narrations that one should join the units of the prayer (Raka’s) without Tashahhud or Tasleem except in the last Raka’h, i.e. the four Raka’s are performed with one Tasleem.
Allaah knows best.