On Eid day these things are Sunnah (desirable):
(1) Cutting hair (cut your hair according to Sunnah)
(2) Cutting Nails.
(3) Doing Ghusl.
(4) Doing Miswaak (this is apart from Miswaak done during Wudhu, since it is Sunnat-e-Mo’ak’kadah).
(5) Wear nice clothes. If not new wear washed ones.
(6) To wear fragrance (whenever you put fragrance on make sure it is pure).
(7) Wearing ring (whenever you wear a ring keep in mind that it should be not more than 4 grams, in weight of silver and wear only one ring. There should be only one stone in this ring. Not more than one stone, and don’t wear one without a stone. There is no limit for the weight of the stone. Apart from a ring of silver or the amount of weight of silver allowed, a ring made of any other metal ring cannot be worn).
(8) Offer the Fajr Namaaz in the mosque in your local mosque.
(9) Before going to Eid-ul-Fitr Namaaz, eating some dates – 3, 5, 7 or more or less. But they should be in odd numbers. If dates are not available then eat something sweet. Even if nothing is eaten before the prayers, then it is not a sin, but if nothing is eaten till Isha Namaaz he will be reprimanded.
(10) To offer Eid Namaaz in Eid-Gah (special ground for Eid Namaaz only).
(11) To go walking to the Eid-Gah.
(12) There is no harm in going on any sort of transport, but for the one who can walk it is most prominent for him to do so, and there is no harm in coming back on any sort of transport.
(13) When going for Eid Namaaz choose one path, and when coming back come on from another path.
(14) Before Eid Namaaz giving Sadqa-e-Fitr (charity) (it is better to give this before Eid Namaaz but if you cannot then give it after the Namaaz).
(15) Showing happiness.
(16) Give a lot of charity.
(17) To go to Eid-Gah relaxed and dignified, with the gaze lowered.
(18) Congratulate one another.
(19) After Eid Namaaz shaking hands, and embracing one another, like the usual custom of the Muslims, is even better since it shows affection.
(20) Eid–ul-Adha is like Eid-ul-Fitr in every sense except for that in Eid-ul-Adha it is desirable not to eat anything before prayer, whether he wants to give sacrifice or not, and if he has eaten there is no harm.
(21) While going for Eid-ul-Fitr Namaaz one should slowly say “Takbeer” and while going for Eid-ul-Adha one should say the “Takbeer” loudly on the way. The following is called “Takbeer”:
‘ALLAHU-AKBAR, ALLAHU-AKBAR, LAAILAAHA IL’LAL’LAAHU WALLAHU AKBAR, ALLAHU-AKBAR, WA’LILLA HIL HAMD’.
Translation: “Allah is most great. Allah is most great. There is none worthy of Worship except Allah and Allah is most great. Allah is most Great and all the praise is for Allah.”
Reference Book : The Prince’s Eid
Also read the book Method of Eid Salaah