Prophets SAW'S prayers.

On awakening from sleep recite this dua:
الْحَمْدُ لِلَّهِ الَّذِي أَحْيَانَا بَعْدَ مَا أَمَاتَنَا وَإِلَيْهِ النُّشُورُ
"All praise be to Allah, who gave us life after killing us (sleep is a form of death) and to Him will we be raised and returned".

(Bukhari, Muslim)
Alternatively recite
الْحَمْدُ لِلَّهِ الَّذِي يُحْيِي الْمَوْتَى وَهُوَ عَلَى كُلِّ شَيْءٍ قَدِيرٍ
"All Praise be to Allah, who raises the dead to life and Who is in control of everything".

(Hisnul Hasin)
On rising for Tahajjud recite
اللَّهُمَّ لَكَ الْحَمْدُ أَنْتَ قَيِّمُ السَّمَاوَاتِ وَالْأَرْضِ وَمَنْ فِيهِنَّ وَلَكَ الْحَمْدُ أَنْتَ نُورُ السَّمَاوَاتِ وَالْأَرْضِ وَمَنْ فِيهِنَّ وَلَكَ الْحَمْدُ أَنْتَ مَلِكُ السَّمَاوَاتِ وَالْأَرْضِ وَمَنْ فِيهِنَّ وَلَكَ الْحَمْدُ أَنْتَ الْحَقُّ وَوَعْدُكَ الْحَقُّ وَلِقَاؤُكَ حَقٌّ وَقَوْلُكَ حَقٌّ وَالْجَنَّةُ حَقٌّ وَالنَّارُ حَقٌّ وَالنَّبِيُّونَ حَقٌّ وَمُحَمَّدٌ حَقٌّ وَالسَّاعَةُ حَقٌّ اللَّهُمَّ لَكَ أَسْلَمْتُ وَبِكَ آمَنْتُ وَعَلَيْكَ تَوَكَّلْتُ وَإِلَيْكَ أَنَبْتُ وَبِكَ خَاصَمْتُ وَإِلَيْكَ حَاكَمْتُ فَاغْفِرْ لِي مَا قَدَّمْتُ وَمَا أَخَّرْتُ وَمَا أَسْرَرْتُ وَمَا أَعْلَنْتُ وَمَا أَنْتَ أَعْلَمُ بِهِ مِنِّي أَنْتَ الْمُقَدِّمُ وَأَنْتَ الْمُؤَخِّرُ لَا إِلَهَ إِلَّا أَنْتَ وَلَا إِلَهَ غَيْرُكَ
"O Allah, All Praise be to You, You are the Creator of all that is between the skies and the earth, Praise be to You for You light all that is between the skies and the earth. Praise be to You for You are the owner of all that is between the skies and the earth and praise be to You for You are Haqq (truth). Your promise is Haqq, and your meeting is Haqq, Your words are Haqq, Jannah and Jahannam are Haqq, All Nabies are Haqq, Muhammad is Haqq, and Qiyamah is Haqq. O Allah, I submit in obedience to You, believe in You and rely on You and turn towards You and with Your might I fought (the enemy) and made You the judge. Forgive my future and past sins, hidden and open sins and those sins of which you know of more than myself: You are the beginning and the end You are the Only one worthy of worship and no one besides You is worthy of worship.

(Bukhari, Muslim)
And look towards the sky and recite the whole of the last Ruku of Surah Al-Imran till the end of the Surah and also:
10 times اللَّهُ أَكْبَرُ
10 times الْحَمْدُ لِلَّهِ
10 times سُبْحَانَ اللَّهِ وَبِحَمْدِهِ
10 times سُبْحَانَ الْمَلِكِ الْقُدُّوسِ
10 times أَسْتَغْفِرُ اللَّهَ
10 times لَا إِلَهَ إِلَّا اللَّهُ
اللَّهُمَّ إِنِّي أَعُوذُ بِكَ مِنْ ضِيقِ الدُّنْيَا وَضِيقِ يَوْمِ الْقِيَامَةِ
"O Allah, I seek refuge in You from the narrowing of this world and the narrowness of the Day of Qiyamat".
Thereafter begin the Salat.

(Mishkat, Abu Dawood)