How to perform sajdah as-sahw in the Hanafi madhab?

So I'll mention two ways, both collecting Zahir Bukhari and Zahir Muslim. The first way, for example, in the Hanafi method, what you would do at the end of Salah, when you sit and you say At-Tahiyyatu-Layhu-Salawat, you say it to the end of that, then you say As-Salamu Alaikum wa Rahmatullah just once, and then you go down and you do two extra Sajdahs. They say Allahu Akbar, go down into Sujood, say Allahu Akbar, come back up again, Allahu Akbar, go back down again, Allahu Akbar, come back up again, then you're sitting in the Tashahud position, and then you start again, At-Tahiyyatu-Layhu-Salawat wa Tayyibat, and then Allahumma Salli ala Muhammad, and then any duas you normally recite, and then two Taslims. The other way to do it is, once you sit for At-Tahiyyatu-Layhu-Salawat, you recite everything that you normally recite, At-Tahiyyatu-Layhu-Salawat, and then Allahumma Salli ala Muhammad, any duas, everything you normally recite, then you do two extra Sajdahs, you say Allahu Akbar, go down into Sujood, Allahu Akbar, come back up again, Allahu Akbar, go back into Sujood, Allahu Akbar, come back up again, and then you say As-Salamu Alaikum wa Rahmatullah. Both have been narrated from the Prophet Sallallahu Alaihi Wasallam in Zahir Bukhari and Zahir Muslim, both of them are completely fine, whichever is easy.