Moving plants

I would like to move this from a partly shaded area in the back garden to full sun in the front garden.Can this grass plant cope with the move cutting it back and being in full sun most of the day ?

 

Thanks..would it be a good idea to cut this back first before replanting..and can it be done anytime of the yr. If I get the chance I'm hoping to do it within the next month.Have to sort the ground out first.

 

Thank you