Suhail reported on the authority of his father that Abu Huraira used to recite takbir on all occasions of rising and bending (in prayer) and narrated that the Messenger of Allah ﷺ used to do like that. (Using translation from Muslim 392f)
أَنَّهُ كَانَ يُكَبِّرُ كُلَّمَا خَفَضَ وَرَفَعَ وَيُحَدِّثُ أَنَّ رَسُولَ اللهِ ﷺ كَانَ يَفْعَلُ ذَلِكَ