At-Tasbih with One's Right Hand Only is Better
Question :
After the compulsory prayers, is it better to make Tasbih, Tahmid, and Takbir with one's right hand?
Answer:
It is better that it be done with the right hand since it is confirmed from the Prophet ﷺ that he would count it on the right hand. 'Aishah, may Allah be pleased with her, said that the Prophet liked to do things with the right: putting on sandals, combing, purification, and every important matter. It is allowed to count on all of the fingers because some Hadiths support that, since he said:
"They will be questioned about that."
From this, it is known that there is some amplitude in this issue, we should not argue about it or be harsh.
Source:
Ibn Baz
Fatawa Islamiyah, Vol. 8 Page 370