All perfect praise be to Allah, the Lord of the worlds. I testify that there is none worthy of worship except Allah and that Muhammad is His slave and Messenger.
In regard to pausing before bowing, then it is part of the Sunnah according to many scholars.
Ibn Qudaamah said:
"When he (the praying person) finishes the recitation, then (Imaam) Ahmad said, 'He should remain in the standing position and remain silent until his breath returns to him before he bows down, and he should not join his recitation with the Takbeer of bowing.
It was narrated that the Prophet used to observe two pauses: a pause at the beginning of the prayer, and another pause when he finishes the recitation. This is in the hadeeth of Samurah as narrated by Abu Daawood and others."
As for the pause between each two Tasbeehah (i.e. saying Subhaana Rabbi Al-‘Atheem while bowing and Subhaana Rabbi Al-A‘laa while prostrating), then we have not come across any statement of the scholars about whether or not they are recommended.
If you mean pausing after reciting every sentence or connecting it with the next sentence, then it appears that this matter is broad and flexible, so whoever wishes to pause may do so, and whoever wishes not to pause may also do so.
Finally, we draw your attention to the fact that the Takbeer for moving from one position to another is to be said when moving down for bowing or prostrating, and not before that or after it.
Allah knows best.