How to make Dua

[Soelaiman]

Salaam

[AbuHarris]

Salaam wa aleikum,
[...]
Btw, I am asking about the several Ayat's people say when making the Dua.
[...]
Salaam wa aleukum

وعليكم السلام ورحمة الله

Here is the link where you will find all āyāt used in adʿiya:
http://www.islamguiden.com/do3a/indexbf62.html?d3a=2

The site has adʿiya for various specific situations; here is the link for some adʿiya said after prayer:
http://www.islamguiden.com/do3a/index4a20.html?d3a=22

Select the adʿiya you want from the latter link or any other adʿiya not found there and let me know which ones; I will add transcription, inshallah.

والسلام

[Soelaiman]

Maybe I should have told you I can not understand arabic and can read it very hard

http://www.islamguiden.com/do3a/indexbf62.html?d3a=2

I can't navigate properly

[AbuHarris]

Here are three to begin with:

رَبَّنَا آتِنَا فِي الدُّنْيَا حَسَنَةً وَفِي الآخِرَةِ حَسَنَةً وَقِنَا عَذَابَ النَّارِ

rabbanā ātina fi d-dunyā ḥasanatan wa-fi l-ākhirati ḥasanatan wa-qinā ʿadhāba n-nār
Our Lord, give us good in this world and in the Hereafter, and protect us from the torment of the Fire. (2:201)

اللَّهُمَّ أَنْتَ السَّلامُ وَمِنْكَ السَّلامُ تَبارَكْتَ يَا ذا الجَلالِ وَالإِكْرام

allāhumma anta s-salām, wa-minka s-salām, tabārakta yā dha l-jalāli wa-l-ikrām
O Allah! You are Peace and from You comes all peace. Exalted You are, O Lord of Majesty and Honour.

لَا إلهَ إلاَّ اللَّهُ وَحْدَهُ لَا شَرِيكَ لَهُ لهُ المُلْكُ وَلَهُ الحَمْدُ وَهُوَ عَلى كُلِّ شَيءٍ قَديرٌ

la ilāha illa llāhu waḥdahu lā sharīka lah, lahu l-mulku wa-lahu l-ḥamd, wa-huwa ʿalā kulli shayʾin qadīr
There is no god except Allah alone. He has no partner; His is the dominion and His is the praise and He is able to do all things.

والسلام

[Soelaiman]

Salaam

[AbuHarris]

[...] feel free to add more if you want [...]

Here is one sequence which is very common:

سُبْحَانَ اللَّه (٣٣ مرّة)
الحَمْدُ للَّه (٣٣ مرّة)
اللَّهُ أَكْبَر (٣٣ مرّة)
لَا إلهَ إلاَّ اللَّهُ وَحْدَهُ لَا شَرِيكَ لَهُ لهُ المُلْكُ وَلَهُ الحَمْدُ وَهُوَ عَلى كُلِّ شَيءٍ قَديرٌ

subḥāna llāh (33 times)
al-ḥamdu li-llāh (33 times)
allāhu akbar (33 times)
la ilāha illa llāhu waḥdahu lā sharīka lah, lahu l-mulku wa-lahu l-ḥamd, wa-huwa ʿalā kulli shayʾin qadīr

Glory be to Allah
Praise be to Allah
Allah is most great
There is no god except Allah alone. He has no partner; His is the dominion and His is the praise and He is able to do all things.

والسلام