Talbiyah
لَبَّيْكَ اللَّهُمَّ لَبَّيْكَ لَبَّيْكَ لَا شَرِيكَ لَكَ لَبَّيْكَ إِنَّ الْحَمْدَ وَالنِّعْمَةَ لَكَ وَالْمُلْكَ لَا شَرِيكَ لَكَ
Labbayk Allahumma labbayk, labbayk la shareeka laka labbayk, innal-hamda wan-ni'mata laka wal-mulk, la shareeka lak
Here I am O Allah, here I am. Here I am, You have no partner, here I am. Verily all praise, grace and sovereignty belong to You. You have no partner.
Sahih Al-Bukhari 2:798, Sahih Muslim 2:841
Dua at the Ka'bah (Seeing the Ka'bah)
اللَّهُمَّ زِدْ هَذَا الْبَيْتَ تَشْرِيفًا وَتَعْظِيمًا وَتَكْرِيمًا وَمَهَابَةً وَزِدْ مَنْ شَرَّفَهُ وَكَرَّمَهُ مِمَّنْ حَجَّهُ أَوِ اعْتَمَرَهُ تَشْرِيفًا وَتَكْرِيمًا وَتَعْظِيمًا وَبِرًّا
Allahumma zid hadhal-bayta tashrifan wa ta'dhiman wa takriman wa mahabatan wa zid man sharrafahu wa karramahu mimman hajjahu awi'tamarahu tashrifan wa takriman wa ta'dhiman wa birra
O Allah, increase this House in honour, esteem, respect and reverence, and increase those who honour and respect it — of those who perform Hajj or Umrah — in honour, esteem, reverence and righteousness.
Al-Bayhaqi, Al-Azraqi
Dua at Safa and Marwa
إِنَّ الصَّفَا وَالْمَرْوَةَ مِنْ شَعَائِرِ اللَّهِ نَبْدَأُ بِمَا بَدَأَ اللَّهُ بِهِ
Innas-safa wal-marwata min sha'a'irillah, nabda'u bima bada'allahu bih
Indeed, as-Safa and al-Marwa are among the symbols of Allah. We begin with what Allah began with.
Sahih Muslim 2:888
Dua at Arafah
لَا إِلَهَ إِلَّا اللَّهُ وَحْدَهُ لَا شَرِيكَ لَهُ لَهُ الْمُلْكُ وَلَهُ الْحَمْدُ وَهُوَ عَلَى كُلِّ شَيْءٍ قَدِيرٌ
La ilaha illallahu wahdahu la shareeka lah, lahul-mulku wa lahul-hamdu wa huwa 'ala kulli shay'in qadir
None has the right to be worshipped except Allah, alone, without partner. To Him belongs all sovereignty and all praise, and He is over all things omnipotent. (The best dua is the dua of the day of Arafah.)
At-Tirmidhi 5:572
Each dua is shown with its reference where the source records one, so you can check it.
Duas whose wording you intend to rely on in worship are worth confirming with a
qualified teacher.