The Book on the Two Eids

Jami' al-Tirmidhi

"When Allah's Messenger would go out on the day of Eid by one route, he would return by another."

Jami' al-Tirmidhi

"The Prophet would not leave on the Day of Fitr until he ate, and he would not eat on the day of Adha until he prayed."

Jami' al-Tirmidhi

"The Prophet would have a breakfast of dates on the Day of Fitr before leaving for the Musalla."

Jami' al-Tirmidhi

There is a another chain with similar narration.

Jami' al-Tirmidhi

"The Prophet said the Takbir in the first (Rak'ah) sever (times) before the recitation, and in the last, five (times) before the recitation."

Jami' al-Tirmidhi

"The Prophet went out on the day of Al-Fitr, so he prayed two Rak'ah, then he did not pray before it nor after it."

Jami' al-Tirmidhi

"He went out on the day of Eid, and he did not pray before it nor after it. He mentioned that the Prophet did so."

Jami' al-Tirmidhi

"Allah's Messenger would order the virgins, the mature women, the secluded and the menstruating to go out for the two Eid. As for the menstruating women, they were to stay away from the Musalla and participate in the Muslims supplications."...

Jami' al-Tirmidhi

with another chain.

Jami' al-Tirmidhi

"It is from the SUnnah to leave for the Eid walking, and to eat something before leaving."