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Ghusl, best clothes, eating before/after, and two different routes.
Several small Sunnahs are recommended before and after the Eid prayer. On Eid al-Fitr, the Prophet ﷺ would not leave for the prayer until he had eaten some dates, taken in an odd number (Bukhari 953) — the opposite of Eid al-Adha, where it is recommended to wait and eat from the sacrifice after returning from prayer.
It is Sunnah to make ghusl and wear one's best (clean, modest) clothing for the occasion, following the general practice of the companions on the two Eids, though this specific narration is less strongly attested than the others here and is a widely followed practice rather than a single sahih-graded hadith citation.
A distinctive Sunnah is taking a different route home from the one taken to the prayer. Jabir ibn Abdullah reported: 'On the day of Eid the Prophet ﷺ used to return (after offering the Eid prayer) through a way different from that by which he went' (Bukhari 986) — commonly explained as multiplying the places that bear witness to one's worship and displaying the rites of Islam more widely.
Hadith
Sahih al-Bukhari · 953
Sahih
“The Prophet ﷺ never proceeded (for the prayer) on the Day of Id-ul-Fitr unless he had eaten some dates, which he used to eat in an odd number.”
Sahih al-Bukhari · 986
Sahih
“On the day of Eid the Prophet ﷺ used to return (after offering the Eid prayer) through a way different from that by which he went.”
Practical steps
1
Make ghusl and wear your best modest clothing.
2
Eat an odd number of dates before Eid al-Fitr prayer; wait to eat until after Eid al-Adha prayer.
3
Take a different route home from the one you took to the prayer.
Educational overview — not a fatwa. Where schools differ (such as the extra-takbir count), both positions are presented; follow your imam or a qualified local scholar.