New start.

I cut short hair in the May 1. On May 1st I cut my hair short. It was a big day!  It was the end of my long hair and then end of my job; but it was the beginning of my (?) graduation ceremony(?) ( I'm not too sure if by exhibition you mean 'ceremony').  

I hope this will give me a great new start.

That day is a big day,i cut my long hair ,end my last job and beginning the graduation exhibition.
hope can have a great new start.

It is true that cutting ones hair can make it feel like you are about to have a 'new beginning'.