Nothing wrong with exercising first thing in a morning. It helps to wake up the nervous system. As S69 points out, you'll need to start off very gently with the stretching & some simple push-ups, squats, walking lunges & sit ups will help a great deal in getting your heart rate slightly elevated & blood pumping through the body & core body temperature warmed up before you do your stretching.
I have
this bookwhich is fantastic for giving you a wide variety of stretches in an easy to understand pictures. If you look through ebay & Amazon you can find it much cheaper than it is in that link.
"If you don't have conditioning it doesn't matter how big your muscles are they ain't gonna reach their full potential!"
21st century Takism
"wyrd bið ful aræd" Destiny is Everything