What time is best to recite Quran ?
Generally, it is best at night and early morning.
Specifically, it is best at the time when:
a) one can be consistent in reading it daily, and
b) have the best presence of heart.
Sayyida Aisha (Allah be well pleased with her said, The actions most beloved to the Messenger of Allah (Allah bless him and give him peace) were those performed consistently [Bukhari and Muslim] Why? Because such actions transform ones life.
when your body and soul is clean
and you want to understand it and be blessed
mostly people recite Quran after Fajar prayers
even while driving a Car you can recite