It has been authentically narrated from Zir Ibn Hubaysh that he said:
“‘Umar Ibn al-Khattaab (radhiAllaahu anhu) left on the day of ‘Eid al-Fitr or the day of Adhaa covered in a cotton garment, walking.”
[Narrated by Ibn Abi Shaybah, no, 5590]
Also, it is authentically narrated from Ja’far Ibn Barqaan that he said:
“‘Umar Ibn ‘Abdil ‘Azeez wrote encouraging them on the two ‘Eids: ‘Whoever can come to them walking, then do so.’”
[Narrated by ‘Abdur Razzaaq, no. 5664 – and this is his wording, and Ibn Abi Shaybah, no. 5604]
It is also authentically reported from Sa’eed Ibn al-Musayyib that he said:
“The Sunnah of ‘Eid al-Fitr is three.” And he mentioned that from them was: “Walking to the prayer area.”
[Narrated by al-Faryaabi, pg. 18]
Imaam at-Tirmidhee mentioned in his ‘Sunan’, vol. 2, pg. 264:
“The majority of the People of Knowledge deem the individual walking to the ‘Eid prayer to be a recommended act.”
Source: The Legislative Rulings For ‘Eid-ul-Fitr – Shaykh ‘AbdulQaadir al-Junayd [e-Book], Translated by Abu Afnaan Muhammad ‘Abdullah, mpubs.org publication