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

مِنَ السُّنَّةِ أَنْ تَخْرُجَ إِلَى الْعِيدِ مَاشِيًا وَأَنْ تَأْكُلَ شَيْئًا قَبْلَ أَنْ تَخْرُجَ  

"Messenger of Allah, Abu Bakr, and Umar would pray during the two Eid before the Khutbah, then they would give the Khutbah."  

كَانَ رَسُولُ اللَّهِ ﷺ وَأَبُو بَكْرٍ وَعُمَرُ يُصَلُّونَ فِي الْعِيدَيْنِ قَبْلَ الْخُطْبَةِ ثُمَّ يَخْطُبُونَ قَالَ وَفِي الْبَابِ عَنْ جَابِرٍ وَابْنِ عَبَّاسٍ  

"I prayed the two Eid prayers with the Prophet - not one time, not two times - without and Adhan nor an Iqamah."  

صَلَّيْتُ مَعَ النَّبِيِّ ﷺ الْعِيدَيْنِ غَيْرَ مَرَّةٍ وَلاَ مَرَّتَيْنِ بِغَيْرِ أَذَانٍ وَلاَ إِقَامَةٍ قَالَ وَفِي الْبَابِ عَنْ جَابِرِ بْنِ عَبْدِ اللَّهِ وَابْنِ عَبَّاسٍ  

"For the two Eid and the Friday prayer, the Prophet would recite: Glorify the Name of your Lord, the Most High, and Has there come to you the narration of the overwhelming? And sometimes they would occur on he same day, so he would recite the two of them."  

كَانَ النَّبِيُّ ﷺ يَقْرَأُ فِي الْعِيدَيْنِ وَفِي الْجُمُعَةِ بِ ( سَبِّحِ اسْمَ رَبِّكَ الأَعْلَى ) وَ (هَلْ أَتَاكَ حَدِيثُ الْغَاشِيَةِ ) وَرُبَّمَا اجْتَمَعَا فِي يَوْمٍ وَاحِدٍ فَيَقْرَأُ بِهِمَا قَالَ وَفِي الْبَابِ عَنْ أَبِي وَاقِدٍ وَسَمُرَةَ بْنِ جُنْدَبٍ وَابْنِ عَبَّاسٍ  

"Umar bin Al-Khattab asked Abu Waqid Al-Laithi what Messenger of Allah would recite during Al-Fitr and Al-Adha, so he said: 'He would recite: Qaf, By the Glorious Quran and the Hour has drawn near, and the moon has been cleft asunder.'"  

أَنَّ عُمَرَ بْنَ الْخَطَّابِ سَأَلَ أَبَا وَاقِدٍ اللَّيْثِيَّ مَا كَانَ رَسُولُ اللَّهِ ﷺ يَقْرَأُ بِهِ فِي الْفِطْرِ وَالأَضْحَى قَالَ كَانَ يَقْرَأُ ب(ق والقرآنِ الْمَجِيدِ ) (اقْتَرَبَتِ السَّاعَةُ وَانْشَقَّ الْقَمَرُ )  

There is a another chain with similar narration.  

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

أَنَّ النَّبِيَّ ﷺ كَبَّرَ فِي الْعِيدَيْنِ فِي الأُولَى سَبْعًا قَبْلَ الْقِرَاءَةِ وَفِي الآخِرَةِ خَمْسًا قَبْلَ الْقِرَاءَةِ قَالَ وَفِي الْبَابِ عَنْ عَائِشَةَ وَابْنِ عُمَرَ وَعَبْدِ اللَّهِ بْنِ عَمْرٍو  

"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."  

أَنَّ النَّبِيَّ ﷺ خَرَجَ يَوْمَ الْفِطْرِ فَصَلَّى رَكْعَتَيْنِ ثُمَّ لَمْ يُصَلِّ قَبْلَهَا وَلاَ بَعْدَهَا قَالَ وَفِي الْبَابِ عَنْ عَبْدِ اللَّهِ بْنِ عُمَرَ وَعَبْدِ اللَّهِ بْنِ عَمْرٍو وَأَبِي سَعِيدٍ  

"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."  

أَنَّهُ خَرَجَ فِي يَوْمِ عِيدٍ فَلَمْ يُصَلِّ قَبْلَهَا وَلاَ بَعْدَهَا وَذَكَرَ أَنَّ النَّبِيَّ ﷺ فَعَلَهُ  

"Messenger of Allah 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." One of them said: 'O Messenger of Allah! What if she does not have a Jilbab? He said: 'Then let her sis lend her a Jilbab.'"  

أَنَّ رَسُولَ اللَّهِ ﷺ كَانَ يُخْرِجُ الأَبْكَارَ وَالْعَوَاتِقَ وَذَوَاتِ الْخُدُورِ وَالْحُيَّضَ فِي الْعِيدَيْنِ فَأَمَّا الْحُيَّضُ فَيَعْتَزِلْنَ الْمُصَلَّى وَيَشْهَدْنَ دَعْوَةَ الْمُسْلِمِينَ قَالَتْ إِحْدَاهُنَّ يَا رَسُولَ اللَّهِ إِنْ لَمْ يَكُنْ لَهَا جِلْبَابٌ قَالَ فَلْتُعِرْهَا أُخْتُهَا مِنْ جَلاَبِيبِهَا  

with another chain.  

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

كَانَ النَّبِيُّ ﷺ إِذَا خَرَجَ يَوْمَ الْعِيدِ فِي طَرِيقٍ رَجَعَ فِي غَيْرِهِ قَالَ وَفِي الْبَابِ عَنْ عَبْدِ اللَّهِ بْنِ عُمَرَ وَأَبِي رَافِعٍ  

"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."  

كَانَ النَّبِيُّ ﷺ لاَ يَخْرُجُ يَوْمَ الْفِطْرِ حَتَّى يَطْعَمَ وَلاَ يَطْعَمُ يَوْمَ الأَضْحَى حَتَّى يُصَلِّيَ قَالَ وَفِي الْبَابِ عَنْ عَلِيٍّ وَأَنَسٍ  

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

أَنَّ النَّبِيَّ ﷺ كَانَ يُفْطِرُ عَلَى تَمَرَاتٍ يَوْمَ الْفِطْرِ قَبْلَ أَنْ يَخْرُجَ إِلَى الْمُصَلَّى