The best time to chant Shiva Aarti is in the morning after a bath, and most preferrably before 6 am.
Proper ritual for performing Shiva Aarti
After taking a bath, lamp diya(earthen lamp) with ghee. Offer holy water in a copper pot on Shivalinga, clean the Shivalinga with a cloth and apply sandalwood poeder, wear janeu, vibhuti, and offer sweets and chant the Shiva Aarti. For appeasing Lord Shiva offer white flowers on the Idol or Shivalinga.
Here is the Shiv Aarti
Jai Shiv Omkaara, Om Jai Shiva Omkara,
Bramha, Vishnu, Sadashiv, Ardhangi Dhaara.
Om Jai Shiv Omkara
Ekaanan Chaturaanan Panchaanan Raje,
Hansaanan Garudaasan Vrishvaahan Saaje.
Om Jai Shiv Omkara
Do Bhuj Chaar Chaturbhuj Dasamukh Ati Sohe,
Trigun Rup Nirakhate Tribhuvan Jan Mohe.
Om Jai Shiv Omkara
Akshamaala Vanamaala Mundamaala Dhaari,
Tripuraari Kansaari Kar Maala Dhaari.
Om Jai Shiv Omkara
Shvetambar Pitambar Baaghambar Ange,
Sanakaadik Garunaadik Bhutaadik Sange.
Om Jai Shiv Omkara
Kar Ke Madhy Kamandalu Charka Trishuladhaari,
Sukhakaari Dukhahaari Jagapaalan Kaari.
Om Jai Shiv Omkara
Bramha Vishnu Sadaashiv Jaanat Aviveka,
Pranavaakshar Mein Shobhit Ye Tino Ekaa.
Om Jai Shiv Omkara
Lakshmi Va Saavitri Paarvati Sangaa,
Paarvati Ardhaangi, Shivalahari Gangaa.
Om Jai Shiv Omkaara
Parvat Sohe Parvati, Shankar Kailasa,
Bhang Dhatur Ka Bhojan,
Bhasmi Mein Vaasa.
Om Jai Shiv Omkaara
Jataa Me Gang Bahat Hai,
Gal Mundan Maala, Shesh Naag Lipataavat,
Odhat Mrugachaala.
Om Jai Shiv Omkaara
Kashi Me Viraaje Vishvanaath, Nandi Bramhchaari,
Nit Uthh Darshan Paavat, Mahimaa Ati Bhaari.
Om Jai Shiv
Omkaara Trigunasvamiji Ki Aarti Jo Koi Nar Gave,
Kahat Shivanand Svami Sukh Sampati Pave.
Om Jai Shiv Omkaara