For ibadaat a Muslim should follow the way our beloved prophet SAW told us.
The Messenger of Allah (S.A.S.) said, ‘Indeed, Allah is shy and beneficent. He is shy when his servant raises his hands to him (in dua) to return them empty, disappointed’. (Ahmad, Abu Dawood, Tirmizi, who stated that it is saheeh. Ibn Hibban in his Saheeh, Hakim, who says that it is saheeh upon the conditions of Bukhari and Muslim).
In addition, it is authentically narrated in many traditions that the Prophet (S.A.S.) used to make dua with the inside of his palms facing his face and he also instructed his companions to do so.
It is narrated from Abu Bakr (R.A.) that the Prophet (S.A.S.) said, ‘Ask Allah with the inside of your hand palms and do not ask him (i.e. supplicate) with the outside of the hand palms. (Recorded by Tabrani in Al Kabeer, who said it is saheeh (sound)’.
Another tradition states that Malik bin Yasar (R.A.) narrates that the Prophet (S.A.S.) said, ‘When you ask from Allah, ask him with the inside of your hand palms and do not ask him with the outside of the hand palms’. (Abu Dawood, Ibn Majah, Tabrani).
And Allah knows best.