The Messenger of Allah ﷺ used to drink in three breaths. When he brought the vessel close to his mouth, he would mention the name of Allah, and when he removed it, he would praise Allah. He did this three times.
أن رسول الله ﷺ كان يشرب في ثلاثة أنفاس، إذا أدنى الإناء إلى فيه سمى الله، فإذا أخره حمد الله، يفعل به ثلاث مرات.
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Tabarani related it in Al-Awsat - Majma Bahrayn (4141), and Kharaiti in Fadilat Shukr (24), both through the route of Atiq bin Yaqub Zubayri, who said, Abdul-Aziz bin Muhammad Darawardi told us, from Muhammad bin Ajlan, from his father, from Abu Hurairah, who said, then he related it. In Kharaiti's version, "from his father" is missing from the chain. Its isnad is hasan because of Atiq bin Yaqub, who is Ibn Siddiq bin Musa bin Abdullah bin Zubayr bin Awwam Zubayri. A group of narrators reported from him, and he is among the narrators of Malik's Muwatta. Daraqutni deemed him reliable, and Ibn Hibban mentioned him in his book of reliable narrators. Ibn Hajar also graded its isnad hasan in Fath al-Bari (10/94).As for Abu Hatim, he said, "This is a munkar hadith" (Al-Ilal 2389). I say, that may be due to Atiq bin Yaqub Zubayri being the sole narrator of it.As for what is reported from Ibn Abbas, that the Prophet ﷺ, when he drank, would breathe twice, its isnad is daif. Tirmidhi related it in his Sunan (1886) and in Shamail (213), as did Ibn Majah (3417) and Ahmad (2578), all of them through the route of Rushdin bin Kurayb, from his father, from Ibn Abbas, who said, then he related it.Tirmidhi said, "This is a gharib hadith. We do not know it except through the report of Rushdin bin Kurayb." That is, it is daif, because Rushdin bin Kurayb is daif by the agreement of the scholars.Likewise, it is not sound from Ibn Abbas that he said, the Messenger of Allah ﷺ said, "Do not drink as the camel drinks in one gulp, but rather drink in two or three gulps, and mention Allah's name when you drink, and praise Him when you lift the vessel."Tirmidhi said, "This is a gharib hadith, and Yazid bin Sinan Jazari is Abu Farwa Rahawi." I say, Yazid bin Sinan is a disputed narrator, and the predominant view of him is weakness, so his solitary reports are not accepted. Ibn Hajar, in Taqrib, simply stated of him, "daif."