Are there daily litanies (awrad) or specific formulas for praying upon the Prophet (peace be upon him), and are there daily remembrances (adhkar) as well?

Praying for the Prophet (peace be upon him) is among the remembrances with immense reward. For whoever prays for him once, Allah will pray for him ten times. A hadith, graded as hasan by Al-Albani, states that whoever prays for the Prophet (peace be upon him) ten times in the morning and ten times in the evening will receive his intercession on the Day of Judgment. This specific wording is not fixed, and it is better to limit oneself to what has been authentically transmitted. A Muslim should frequently pray for the Prophet (peace be upon him) and engage in all types of remembrance.