Reschedule my pill time!

I'm in college and take my pill before I go to bed, but that could vary between 8pm and 4am! I get my period in the middle of the pack so obviously doing this causes it not to work! I need to start taking it regularly in the morning but how do I go about doing this. Do I finish this pack and then start a new one after my next period? Or just start taking my pill in the morning tomorrow?